Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $xy^2 + \ln(x + 2y) = 1$.
(main)[5]

Determine the gradient of the curve at the point where $x = 0$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply that the derivative of $\ln(x+2y)$ is $\frac{1+2\,dy/dx}{x+2y}$

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