Consider the parametric equations and for

MATHEMATICS · Multi-part · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the parametric equations

x=e^{2t}

and

y=\ln(t+1)

for

t>-1

. Answer the following: (i) Find

\dfrac{dy}{dx}

in terms of

t

. (ii) Hence calculate

\dfrac{dy}{dx}

at

t=0

.

Related theory

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