Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

The curve is defined by $y = \frac{\sin 2x}{\cos x + 1}$.
(i)[7]

Show that $\frac{dy}{dx} = \frac{2(\cos^2 x + \cos x - 1)}{\cos x + 1}$.

(ii)[3]

Find the $x$-coordinate of every stationary point on the curve in the interval $-\pi < x < \pi$. State each answer correct to $3$ significant figures.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply quotient rule or an equivalent method to determine the first derivative

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