Let and for all real

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Let

x(t)=e^{t}+t

and

y(t)=e^{t}

for all real

t

. Find the value of

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

t=0

. (a)

-\dfrac{1}{8}

(b)

\dfrac{1}{4}

(c)

\dfrac{1}{8}

(d)

\dfrac{1}{2}

Related theory

Parametric Functions
Implicit and parametric differentiation
Derivatives of parametric functions
Continuity and Differentiability

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