Consider the parametric equations and

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the parametric equations x=t2+1x=t^{2}+1 and y=t3−3ty=t^{3}-3t. What is the value of d2ydx2\dfrac{d^{2}y}{dx^{2}} at t=1t=1? (a) 0.750.75 (b) 1.51.5 (c) −1.5-1.5 (d) 33

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