The curve is defined parametrically by and

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

The curve is defined parametrically by

x=k\ln t

and

y=t^{k}

, where

k

is a non-zero constant and

t>0

. Determine

\dfrac{dy}{dx}

in terms of

t

and

k

, simplifying your answer as far as possible.