(a)[3]
Find a simplified formula for $\frac{dy}{dx}$ in terms of $t$.
(b)[3]
Hence determine the exact coordinates of the point on the curve where the gradient of the normal is $-2$.
Mathematics 9709 · AS & A Level · Differentiation
Differentiation — practice question
The curve is given in parametric form by $x = \sqrt{t} + 3$ and $y = \ln t$, with $t > 0$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State the correct derivative of $x$ or $y$ with respect to $t$.” …
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