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Derivatives of Inverse Trigonometric Functions

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Presentation on theme: "Derivatives of Inverse Trigonometric Functions"— Presentation transcript:

1 Derivatives of Inverse Trigonometric Functions
Chapter 4 More Derivatives Section 4.3 Derivatives of Inverse Trigonometric Functions

2 Quick Review

3 Quick Review

4 Quick Review Solutions

5 Quick Review Solutions

6 What you’ll learn about
Differentiating inverse functions Graphical interpretation of how the derivative of f is related to the derivative of f - 1 Derivatives of the inverse trigonometric functions Identities for graphing arccot, arcsec, and arccsc functions on a graphing calculator … and why The relationship between the graph of a function and its inverse allows us to see the relationship between their derivatives.

7 Derivatives of Inverse Functions

8 Derivative of the Arcsine

9 Example Derivative of the Arcsine

10 Derivative of the Arctangent

11 Derivative of the Arcsecant

12 Example Derivative of the Arcsecant

13 Inverse Function – Inverse Cofunction Identities

14 Calculator Conversion Identities

15 Example Derivative of the Arccotangent


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