(a)[4]
Find an expression for $\frac{dy}{dx}$ written in terms of $t$.
(b)[3]
Find the exact gradient of the curve at the point where it crosses the $y$-axis.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is described by the parametric equations $x = \frac{e^{2t} - 2}{e^{2t} + 1}$, $y = e^{3t} + 1$.
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