MCQ_SINGLE

Derivative of \(e^{\sin^{2}x}\) with respect to cos x is:

MCQ_SINGLE

The derivative of \(\tan^{-1}(x^{2})\) w.r.t. x is :

VSA

If $x=e^{x/y}$, prove that $\frac{dy}{dx}=\frac{log~x-1}{(log~x)^{2}}$

SA

If $x\sqrt{1+y}+y\sqrt{1+x}=0$, $-1

LA

For a positive constant 'a', differentiate $a^{t+\frac{1}{t}}$ with respect to $(t+\frac{1}{t})^{a}$ where t is a non-zero real number.

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