CBSE

MATHEMATICS · Multi-part · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let

y=e^{2x}\,\ln x

for

x>0

. (i) Compute

\dfrac{dy}{dx}

. (ii) Hence find

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

. (iii) Determine the set of all

x>0

for which

\dfrac{d^{2}y}{dx^{2}}>0

.

Related theory

Browse the problem library