If , which of the following gives in terms of…

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

Problem

x=\tan y

, which of the following gives

\dfrac{d^{2}y}{dx^{2}}

in terms of

y

? (a)

2\cos^{3}y\sin y

(b)

-2\cos y\sin y

(c)

-2\cos^{3}y\sin y

(d)

-2\sin^{3}y\cos y

Related theory

Advanced Differentiation
Higher-Order Derivatives
Second order derivatives
Continuity and Differentiability

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