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Calculating the Derivative

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Presentation on theme: "Calculating the Derivative"— Presentation transcript:

1 Calculating the Derivative
Chapter 4 Calculating the Derivative

2 Techniques for Finding Derivatives
Section 4.1 Techniques for Finding Derivatives

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4

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7 Your Turn 1 Solution:

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9 Your Turn 2 Solution: Rewrite this as,

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11 Your Turn 3 Solution: Rewrite h(t) as

12 Figure 4

13 Figure 5

14 Figure 6

15 Derivatives of Products and Quotients
Section 4.2 Derivatives of Products and Quotients

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17 Your Turn 1 Solution : Simplify by multiplying and combining terms.

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19 Your Turn 2 Solution:

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21 Section 4.3 The Chain Rule

22 Figure 9

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25 Your Turn 4 Solution:

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27 Your Turn 6 Solution: Now use the product rule and the chain rule.

28 Derivatives of Exponential Functions
Section 4.4 Derivatives of Exponential Functions

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31 Your Turn 1

32 Your Turn 2 Solution: Use the product rule and the chain rule.

33 Derivatives of Logarithmic Functions
Section 4.5 Derivatives of Logarithmic Functions

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35 Figure 12

36 Your Turn 1

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38 Your Turn 2 Solution (a): Solution (b):


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