The curve is defined by and for all real

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The curve is defined by

x=e^{t}

and

y=t^{2}e^{t}

for all real

t

. Express

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

entirely in terms of

x

. (a)

\displaystyle 2\bigl(1+\ln x\bigr)x

(b)

\displaystyle \frac{2\bigl(1+\ln x\bigr)}{x}

(c)

\displaystyle \frac{2+2\ln x}{x^{2}}

(d)

\displaystyle 2\bigl(1+\ln x\bigr)

Related theory

Browse the problem library