differentiation

Related Questions

• The edge of a cube is increasing at the rate of $5cm/\sec .$ How fast is the volume of the cube increasing when the edge is 12cm long

  ---

• If $x = a{\cos ^4}\theta ,y = a{\sin ^4}\theta ,$ then $\frac{{dy}}{{dx}}$, at $\theta = \frac{{3\pi }}{4}$, is

  ---

• If $y = \frac{{{e^{2x}}\cos x}}{{x\sin x}},$then $\frac{{dy}}{{dx}} = $

  ---

• The derivative of ${{\sin }^{-1}}\left( \frac{2x}{1+{{x}^{2}}} \right)\,$w.r.t. ${{\cos }^{-1}}\left( \frac{1-{{x}^{2}}}{1+{{x}^{2}}} \right)$ is

  ---

• The maximum value of the function ${{x}^{3}}+{{x}^{2}}+x-4$ is

  ---