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ACSEE (Form 6) Differentiation — practice questions

3 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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If $y=\tan^{-1}\left(\dfrac{ qrt{1+x}- qrt{1-x}}{ qrt{1+x}+ qrt{1-x}}\right)$, then $\dfrac{dy}{dx}$ is:Using the second derivative test on $y=3xe^{-x}$, the stationary point is:An air pollution index is $p=x^2+2xy+4xy^2$. At the point $(10,5)$, the partial derivatives $\dfrac{\partial p