If , when , then find…

MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

y = \sec^{-1}(\sqrt{1+x^2})

, when

-1 < x < 1

, then find

\frac{dy}{dx}

Related theory

Advanced Differentiation
Derivatives of standard functions via chain rule
Derivatives of inverse trigonometric functions
Continuity and Differentiability

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