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2.4 The Chain Rule.

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Presentation on theme: "2.4 The Chain Rule."— Presentation transcript:

1 2.4 The Chain Rule

2

3 Decomposition of a Composite Function

4 Using Chain Rule

5

6 Applying the General Power Rule
Find the derivative of:

7 Differentiating Functions Involving Radicals
Find all points on the graph of f(x) for which f’(x)=0 and those for which f’(x) does not exist.

8 Differentiating Quotients with Constant Numerators
Differentiate:

9 Simplifying by Factoring Out the Least Powers

10 Simplifying the Derivative of a Quotient

11 Simplifying the Derivative of a Power

12 Trigonometric Functions and the Chain Rule

13 Applying the Chain Rule to Trigonometric Functions

14 Parentheses and Trigonometric Functions

15 Parentheses and Trigonometric Functions

16 Repeated Application of the Chain Rule

17 Tangent Line of a Trigonometric Function
Find an equation of the tangent line to the graph of f(x) at the point (π,1). Then determine all values of x in the interval (0,2π) at which the graph of f has a horizontal tangent.

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