Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $\ln(x + y) = x - 2y$.
(a)[4]

Prove that $\frac{dy}{dx} = \frac{x + y - 1}{2(x + y) + 1}$.

(b)[3]

Find the coordinates of the point on the curve where the tangent runs parallel to the $x$-axis.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Differentiate the LHS using the chain rule

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