If , Find in terms of alone.

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

Problem

12. If

y=\cos ^{-1} x

, Find

\frac{d^{2} y}{d x^{2}}

in terms of

y

alone.

Related theory

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

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