2.2 The Derivatives of Polynomial Functions

📖 Chapter 2 Derivatives
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calcCh3a.2lectureHD

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1

006. e^x

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005. Simplifying to use Power Rule

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004. Differentiation Polynomials and Rational Exponents

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003. Proof of Power Rule

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002. Proofs of Derivative Properties

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6

001. Introduction to Power Rule

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calcvecnelsonCh2.2lsolutions

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1

002. Q2a

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given.simple.Polynomial, find Derivative
🎓 001. Derivative of Polynomial with Power Rule
⏱️ 0:180🎬 kov4stIr_sc
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2

002. Q2b

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given.simple.Polynomial, find Derivative
🎓 001. Derivative of Polynomial with Power Rule
⏱️ 0:181🎬 VkgFM3QcpGs
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3

002. Q2c

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given.simple.Polynomial, find Derivative
🎓 001. Derivative of Polynomial with Power Rule
⏱️ 0:210🎬 WBK8HKMU2_Y
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4

002. Q2d

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given Rational Exponents, find Derivative
🎓 001. Differentiate Power Functions with Rational Exponents
⏱️ 0:350🎬 -LBVM6ukPcs
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5

002. Q2e

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given.single.term.x^n, find.derivative
🎓 002. Power rule on rational
⏱️ 0:411🎬 iXneNiOfZ1g
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6

002. Q2f

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Answer
📚 Related Lectures
13.2.1 CALCULUS, POWER RULE, given.single.term.x^n, find.derivative
🎓 002. Power rule on rational
⏱️ 0:150🎬 eCYW1LfDi8Q
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7

003. Q3a

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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
⏱️ 0:580🎬 gdM_vNlYWFI
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8

003. Q3b

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given.simple.Polynomial, find Derivative
🎓 001. Derivative of Polynomial with Power Rule
⏱️ 0:380🎬 AcXGJPISRlQ
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9

003. Q3c

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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
⏱️ 0:351🎬 rRqnCXumd-Y
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10

003. Q3d

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given.simple.Polynomial, find Derivative
🎓 001. Derivative of Polynomial with Power Rule
⏱️ 0:451🎬 iztbyEDb6F0
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11

003. Q3e

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Answer
⏱️ 0:350🎬 O70K7l_iPMc
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12

003. Q3f

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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
⏱️ 0:520🎬 u2Gg2C1FyyM
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13

004. Q4a

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given Rational Exponents, find Derivative
🎓 001. Differentiate Power Functions with Rational Exponents
⏱️ 0:300🎬 IiVMmL_l2-E
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14

004. Q4b

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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
⏱️ 0:460🎬 V9VJZjFSMV0
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15

004. Q4c

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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
⏱️ 1:041🎬 g2qNsCeY0sQ
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16

004. Q4d

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given Rational Exponents, find Derivative
🎓 001. Differentiate Power Functions with Rational Exponents
⏱️ 1:000🎬 8RfIYwSaxks
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17

004. Q4e

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given Rational Exponents, find Derivative
🎓 001. Differentiate Power Functions with Rational Exponents
⏱️ 0:580🎬 tWGIW-LuAdY
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18

004. Q4f

Question
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
⏱️ 1:030🎬 LSB1z9fMTWI
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19

005. Q5a

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given.simple.Polynomial, find Derivative
🎓 001. Derivative of Polynomial with Power Rule
⏱️ 0:270🎬 f34QLex4BAE
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20

005. Q5b

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Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, given.simple.Polynomial, find Derivative
🎓 001. Derivative of Polynomial with Power Rule
⏱️ 0:300🎬 RPzMj9y4_IY
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21

005. Q5c

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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
⏱️ 0:341🎬 9L9VzWLyvKo
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22

006. Q6a

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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
⏱️ 1:190🎬 FuSZeHQnEWI
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23

006. Q6b

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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
⏱️ 2:150🎬 0rVlmnzRudY
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24

007. Q7a

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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
⏱️ 1:010🎬 VNOUIjVgW4s
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25

007. Q7b

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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
⏱️ 0:540🎬 d8OfEi_bHYM
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26

007. Q7c

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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
⏱️ 0:580🎬 NSBHFkRNwUw
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27

007. Q7d

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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
⏱️ 0:580🎬 FUQ1neiHuNU
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28

008. Q8a

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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
⏱️ 0:320🎬 BEb17PjDrzA
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29

008. Q8b

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Answer
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008. Q8c

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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
⏱️ 1:000🎬 Z2peuKtb1so
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31

008. Q8d

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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
⏱️ 0:580🎬 BGdgp1hJGsg
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32

009. Q9a

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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
⏱️ 1:040🎬 tn5iWeAdT5Y
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33

009. Q9b

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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
⏱️ 1:290🎬 rjCsY6bNQKk
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34

009. Q9c

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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
⏱️ 1:090🎬 rzXKK9mTx50
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35

009. Q9d

Question
Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
⏱️ 1:240🎬 i-S2FEiXZ1A
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36

009. Q9e

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Answer
📚 Related Lectures
13.2.2 CALCULUS, PRODUCT RULE, given Functions and Point, find Tangent
🎓 001. Product Rule with Linear Linear
⏱️ 1:460🎬 ohGSuoxpdHA
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37

009. Q9f

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Answer
⏱️ 1:380🎬 r5abFCk1dbM
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010. Q10

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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
⏱️ 0:440🎬 FES5god1lXg
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39

011. Q11

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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
⏱️ 2:390🎬 00Hrj0A12I4
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40

012. Q12

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⏱️ 1:210🎬 MphcMZQ55RA
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013. Q13

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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
⏱️ 1:050🎬 eFmcL3vtxtw
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42

014. Q14

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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
⏱️ 1:040🎬 PizyLgcI3W8
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43

015. Q15

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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
⏱️ 0:480🎬 ZwtXeMGPiHg
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44

016. Q16

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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
⏱️ 0:490🎬 wYI-39g2GSo
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45

017. Q17a

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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
⏱️ 5:080🎬 mrDeqrdaTCw
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46

017. Q17b

Question
Answer
📚 Related Lectures
Calculus, Derivatives, Power Rule, Tangent, given Point on Function, find Tangent
🎓 001. Given Power Function, Point, find Tangent
⏱️ 4:141🎬 DZT75SLvVMw
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47

018. Q18

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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
⏱️ 3:000🎬 4Pl7LPjL-Ww
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48

019. Q19a

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Answer
⏱️ 0:420🎬 t8Y1cM0uqKk
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49

019. Q19b

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50

020. Q20a

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Answer
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🎓 001. Average Velocity from a given graph
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51

020. Q20b

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Answer
⏱️ 0:260🎬 Lcm7ggCgYOs
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020. Q20c

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🎓 001. Find velocity at a certain height when position function is given
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53

021. Q21

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⏱️ 1:480🎬 Gl3rzq-_R6g
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022. Q22

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023. Q23

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024. Q24

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025. Q25ai

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025. Q25aii

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59

025. Q25aiii

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60

026. Q26

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Answer
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13.2.5 CALCULUS, IMPLICIT, given.radical, find.der
🎓 001. Implicit with Radicals
⏱️ 2:040🎬 8woHaz-Iz_o
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61

027. Q27

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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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62

028. Q28a

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Answer
⏱️ 0:270🎬 TOzmzVCAXBE
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63

028. Q28b

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Answer
📚 Related Lectures
13.1.5 CALCULUS, DIFFERENTIABILITY, DOMAIN OF DERIVATIVES, given.Abs.function, determine
🎓 001. Differentiable at point of cusp with absolute value function
⏱️ 1:530🎬 4cz8CKB-RvI
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64

028. Q28c

Question
Answer
📚 Related Lectures
13.1.5 CALCULUS, DIFFERENTIABILITY, DOMAIN OF DERIVATIVES, given.Abs.function, determine
🎓 001. Differentiable at point of cusp with absolute value function
⏱️ 1:110🎬 Wi_t8UwS4Mc
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