(i)[4]
Find an expression, in terms of $t$, for $\frac{dy}{dx}$.
(ii)[4]
Find the equation of the normal to the curve at the point for which $t = 0$. Give your answer in the form $ax + by + c = 0$, where $a$, $b$ and $c$ are integers.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The parametric equations for the curve are $x = \ln(t + 1)$ and $y = e^{2t} + 2t$.