AP

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

Problem

13. Find

\frac{d y}{d x}

, if

y=\sin ^{-1} x+\sin ^{-1} \sqrt{1-x^{2}}, 0<x<1

Related theory

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

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