A particle moves along a curve given parametrically by x(t)=t^ 2 +3t

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

A particle moves along a curve given parametrically by

x(t)=t^{2}+3t, \quad y(t)=\ln(t+2), \qquad t>-2.

Find

\displaystyle\frac{dy}{dx}

t=1

by computing the appropriate limit. Provide the exact value.