SA

If $x~cos(p+y)+cos~p~sin(p+y)=0$ prove that $cos~p\frac{dy}{dx}=-cos^{2}(p+y),$ where p is a constant.

MCQ_SINGLE

If $e^{-x}+e^{-y}=2$, then $\frac{dy}{dx}$ is

VSA

If $y=cos^{3}(sec^{2}2t)$, find $\frac{dy}{dt}$ .

SA

Differentiate $y=\sin^{-1}(3x-4x^{3})$ w.r.t. x, if $x\in[-\frac{1}{2},\frac{1}{2}]$.

VSA

If $-2x^{2}-5xy+y^{3}=76$, then find $\frac{dy}{dx}$.

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