differentiation

Related Questions

• The volume V and depth x of water in a vessel are connected by the relation $V=5x-\frac{{{x}^{2}}}{6}$ and the volume of water is increasing at the rate of $5c{{m}^{3}}/\sec $ , when $x=2cm$ . The rate at which the depth of water is increasing, is

  ---

• If sin(x+y)=log(x+y), then $\frac{{dy}}{{dx}}$=

  ---

• If $y=a{{x}^{n+1}}+b{{x}^{-n}}$, then ${{x}^{2}}\frac{{{d}^{2}}y}{d{{x}^{2}}}=$

  ---

• $\frac{d}{{dx}}{\tan ^{ - 1}}(\sec x + \tan x) = $

  ---

• If $f(x)=\frac{{{x}^{2}}-1}{{{x}^{2}}+1}$ , for every real number x, then the minimum value of f

  ---