Mathematics 9709 · AS & A Level · Differentiation

Differentiation — practice question

A curve is described by the parametric equations $x = e^{-t}\\cos t$, $y = e^{-t}\\sin t$.
(main)[6]

Show that the derivative is $\\frac{dy}{dx} = \\tan\\left(t - \\frac{1}{4}\\pi\\right)$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: Apply the correct product rule or quotient rule at least once

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