Derivatives of Inverse Trigonometric Functions

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Presentation transcript:

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

Quick Review

Quick Review

Quick Review Solutions

Quick Review Solutions

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.

Derivatives of Inverse Functions

Derivative of the Arcsine

Example Derivative of the Arcsine

Derivative of the Arctangent

Derivative of the Arcsecant

Example Derivative of the Arcsecant

Inverse Function – Inverse Cofunction Identities

Calculator Conversion Identities

Example Derivative of the Arccotangent

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