2.1 Derivative of Polynomial Function

📖 Chapter 2 Derivatives
📄 Page 72
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calcvecMcGraw2.1solutions

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1

001. Q1

Question
Answer
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13.2.1 CALCULUS, POWER RULE, given Constant Function, find Derivative
🎓 001. Derivative of Constant
🎓 002. Understanding Derivative Properties
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2

002. Q2a

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
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3

002. Q2b

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
⏱️ 0:320🎬 jOHx6BJ5NY4
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4

002. Q2c

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
⏱️ 0:140🎬 zJAemU2cjlY
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5

002. Q2d

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
⏱️ 0:230🎬 FT9uOGAMTAk
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6

002. Q2e

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
⏱️ 0:150🎬 K5KRGb0_xIA
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7

002. Q2f

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
⏱️ 0:440🎬 rCflADM5dcY
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8

002. Q2g

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given.single.term.1/x^n, find.derivative
🎓 001. Power Rule with 1/mono
⏱️ 0:220🎬 0BuluWizS70
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9

002. Q2h

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given.single.term.1/x^n, find.derivative
🎓 001. Power Rule with 1/mono
⏱️ 0:550🎬 qeQxAYlIAC4
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10

003. Q3a

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Constant Function, find Derivative
🎓 001. Derivative of Constant
🎓 002. Understanding Derivative Properties
⏱️ 0:090🎬 xr7wAsTr_Gs
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11

003. Q3b

Question
Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
⏱️ 0:590🎬 0o6r-ujkWWE
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12

003. Q3c

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
⏱️ 1:010🎬 mAa9BlipUAs
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13

003. Q3d

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
⏱️ 0:240🎬 7bsjBfs4Zug
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14

003. Q3e

Question
Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
⏱️ 0:220🎬 _6qiD09Twn8
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15

003. Q3f

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given.single.term.1/x^n, find.derivative
🎓 001. Power Rule with 1/mono
⏱️ 0:380🎬 DHDajtsWZ9M
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16

004. Q4a

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given Sum of Function/Terms, find Derivative
🎓 001. Given Sum of Power Function, find Derivative and evaluate
⏱️ 0:190🎬 qFOoxlVXth8
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17

004. Q4b

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given Sum of Function/Terms, find Derivative
🎓 001. Given Sum of Power Function, find Derivative and evaluate
⏱️ 0:150🎬 BmQp7uKAhUQ
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18

004. Q4c

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
⏱️ 0:210🎬 waXY-zGa4CY
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19

004. Q4d

Question
Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Simple Power or Constant Function, find Derivative
🎓 001. Introduction to Power Rule
🎓 002. Power rule on x^3+k
⏱️ 0:170🎬 eun5ZwkR9tQ
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20

004. Q4e

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given Sum of Function/Terms, find Derivative
🎓 001. Given Sum of Power Function, find Derivative and evaluate
⏱️ 0:410🎬 iA45wZ8EfsU
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21

004. Q4f

Question
Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Sum of Rational Expression with Monomial Denominator, convert.differentiate
🎓 001. Derivative of Sum of Monomials in fraction
⏱️ 0:320🎬 nfVFxVvGHX0
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22

005. Q5a

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
⏱️ 1:130🎬 xJfe7jGghiM
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23

006. Q6a

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Rational Expression Single Term Denominator (a+b)/c, find Derivative
🎓 001. Derivative of Rational that can be done with Power
⏱️ 0:370🎬 vrf3JIlZJLY
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24

006. Q6b

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Answer
📚 Related Lectures
13.2.2 CALCULUS, PRODUCT RULE, given.poly.poly, differentiate
🎓 001. Product Rule Example
⏱️ 0:240🎬 e8jvulWOHa0
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25

006. Q6c

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Rational Expression Single Term Denominator (a+b)/c, find Derivative
🎓 001. Derivative of Rational that can be done with Power
⏱️ 0:530🎬 Z9MmV1jG6Hw
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26

006. Q6d

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given.Product, expand.differentiate
🎓 002. Expand to use power rule of binomial
🎓 001. Distribute to use Power Rule of Derivative
⏱️ 0:190🎬 cExhvj4n47A
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27

008. Q8

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Answer
📚 Related Lectures
13.2.2 CALCULUS, PRODUCT RULE, given.poly.poly, differentiate
🎓 001. Product Rule Example
⏱️ 1:340🎬 jTamAehPPsM
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28

010. Q10

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⏱️ 1:390🎬 K2dnArTkA7Y
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29

011. Q11

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⏱️ 1:440🎬 3wgHy8iQrz4
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30

013. Q13

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
⏱️ 1:050🎬 2PR03CbI2OM
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31

014. Q14

Question
Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
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32

015. Q15a

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⏱️ 0:270🎬 xMeaKgqNsLY
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33

015. Q15b

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⏱️ 1:040🎬 fPFfIaMex1s
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34

015. Q15c

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given.Position.Function, find velocity
🎓 001. Introduction to Velocity and Acceleration
⏱️ 0:420🎬 SeUdIvgYiXQ
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35

015. Q15d

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Answer
📚 Related Lectures
13.2.1 Calculus, Derivatives, Velocity and Acceleration, given function, given height, find velocity
🎓 001. Find velocity at a certain height when position function is given
⏱️ 0:450🎬 BaR0QYF93pw
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36

015. Q15e

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Answer
📚 Related Lectures
13.2.1 Calculus, Derivatives, Velocity and Acceleration, given function, given height, find velocity
🎓 001. Find velocity at a certain height when position function is given
⏱️ 0:320🎬 o14q_A1xcc4
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37

016. Q16a

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given.Slope.equation, find.point
🎓 001. Find the x value which will locate particular slope value in the function
⏱️ 1:450🎬 gswKvoelk_w
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38

016. Q16b

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given.Slope.equation, find.point
🎓 001. Find the x value which will locate particular slope value in the function
⏱️ 1:120🎬 XnuOO4cBgdc
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39

017. Q17

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
⏱️ 2:350🎬 3vW82ocTMNw
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40

018. Q18

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Answer
📚 Related Lectures
13.1.5 CALCULUS, DIFFERENTIABILITY, DOMAIN OF DERIVATIVES, prove.statment
🎓 001. Proving using Differentiability facts
⏱️ 2:520🎬 mKo73TQnFyQ
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41

019. Q19a

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Answer
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Cost.Problem, find.f'
🎓 001. Marginal Profits
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42

019. Q19b

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Answer
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Cost.Problem, find.f'
🎓 001. Marginal Profits
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43

019. Q19c

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Answer
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Cost.Problem, find.f'
🎓 001. Marginal Profits
⏱️ 0:530🎬 p_0mAGG-_V4
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44

019. Q19d

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Answer
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Cost.Problem, find.f'
🎓 001. Marginal Profits
⏱️ 0:250🎬 qsDxD5goZXY
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45

019. Q19e

Question
Answer
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Cost.Problem, find.f'
🎓 001. Marginal Profits
⏱️ 0:470🎬 Hdr_FMqFtBA
▶ Watch
46

019. Q19f

Question
Answer
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Cost.Problem, find.f'
🎓 001. Marginal Profits
⏱️ 1:170🎬 SHsEAa-Vm8U
▶ Watch
47

020. Q20a

Question
Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given.Slope.equation, find.point
🎓 001. Find the x value which will locate particular slope value in the function
⏱️ 1:080🎬 cZul7pSv5Qs
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48

020. Q20b

Question
Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
⏱️ 0:530🎬 YS7_RUqJFoo
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49

021. Q21a

Question
Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Sum of Rational Expression with Monomial Denominator, convert.differentiate
🎓 001. Derivative of Sum of Monomials in fraction
⏱️ 1:090🎬 cfKz-_pAkjE
▶ Watch
50

021. Q21b

Question
Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given Sum of Rational Expression with Monomial Denominator, convert.differentiate
🎓 001. Derivative of Sum of Monomials in fraction
⏱️ 0:400🎬 ZtEpO5BEGcQ
▶ Watch
51

022. Q22a

Question
Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given.Product, expand.differentiate
🎓 002. Expand to use power rule of binomial
🎓 001. Distribute to use Power Rule of Derivative
⏱️ 1:400🎬 QKJe06qraJE
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52

023. Q23a

Question
Answer
📚 Related Lectures
13.2.2 CALCULUS, PRODUCT RULE, given.algebraic.algebraic, differentiate
🎓 001. Product Rule with Negative Powers
⏱️ 1:500🎬 9KeipG-r1Ec
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53

024. Q24a

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given.Slope.equation, find.point
🎓 001. Find the x value which will locate particular slope value in the function
⏱️ 1:520🎬 dma-WCtwjnQ
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54

025. Q25a

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Answer
⏱️ 1:140🎬 8YnX7d2gGXU
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026. Q26a

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Answer
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Population.Growth
🎓 001. Population growth IROC
⏱️ 0:450🎬 6nj_eB9RCyc
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56

026. Q26b

Question
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Population.Growth
🎓 001. Population growth IROC
⏱️ 0:160🎬 VwSRE6PfFO0
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57

026. Q26c

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Answer
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Population.Growth
🎓 001. Population growth IROC
⏱️ 0:590🎬 1-DAgOz5t-g
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58

026. Q26d

Question
📚 Related Lectures
13.2.4 CALCULUS, MODELLING with INSTANTANEOUS RATE OF CHANGE, given.Population.Growth
🎓 001. Population growth IROC
⏱️ 0:400🎬 DgwP7PnH8Kw
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59

026. Q26e

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⏱️ 1:530🎬 xwnyGjPDzck
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60

026. Q26f

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61

027. Q27

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Answer
📚 Related Lectures
12.1.2 Advanced Functions, Factor and Remainder Theorem, given Linear Factor or Remainder, find missing Coefficient
🎓 001. Given a Factor, Find Missing Coefficient in the Polynomial
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62

028. Q28

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
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63

029. Q29

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
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64

030. Q30

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⏱️ 0:250🎬 nMRDzDTdH1U
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calcCh3a.2lectureHD

6 videos

1

006. e^x

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2

005. Simplifying to use Power Rule

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3

004. Differentiation Polynomials and Rational Exponents

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4

003. Proof of Power Rule

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5

002. Proofs of Derivative Properties

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6

001. Introduction to Power Rule

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