# 3.8: Derivatives of inverse trig functions

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3.8: Derivatives of inverse trig functions
Objective: Students will be able to… Find the derivative of inverse functions and inverse trig functions

Is sec x one to one?

Proof: y= sec (x) Write inverse: Differentiate:

If u is a differentiable function, then,

Examples: find the derivative

Derivative of the other three
Inverse Function—Inverse Cofunction Identities

Therefore,

Examples:

Find an equation for the tangent line to the graph y=cot-1x at x = 1.

Calculator conversion identities