Let and for . Calculate the slope of the curve at…

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Let x(t)=ln⁡tx(t)=\ln t and y(t)=t2y(t)=t^{2} for t>0t>0. Calculate the slope dydx\dfrac{dy}{dx} of the curve at t=et=e. (a) 2e2e (b) 2e2\dfrac{2}{e^{2}} (c) 2e22e^{2} (d) 22

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