Find for the function .

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

Problem

Find

\frac{dy}{dx}

for the function

y = \sin^{-1} \left( \frac{5x+12\sqrt{1-x^2}}{13} \right)

Related theory

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

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