The curve is defined parametrically by and

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

The curve is defined parametrically by x(t)=t2x(t)=t^{2} and y(t)=t3y(t)=t^{3}, where tt is a real number. Determine d2ydx2\dfrac{d^{2}y}{dx^{2}} at t=1t=1.

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