Let and . Compute and at…

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

Problem

Let x=e2tx=e^{2t} and y=e2tcos⁡ty=e^{2t}\cos t. Compute dydx\dfrac{dy}{dx} and d2ydx2\dfrac{d^{2}y}{dx^{2}} at t=0t=0.

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