(a(i))[4]
Demonstrate that $\displaystyle \frac{dy}{dx} = \frac{2(t + 1)}{e^t}$.
(a(ii))[4]
Determine the equation of the normal to the curve at the point for which $t = 0$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The parametric form of the curve is given by $x = e^{2t}$ and $y = 4te^t$.