differentiation

Related Questions

• If $y = \frac{{\tan x + \cot x}}{{\tan x - \cot x}},$then $\frac{{dy}}{{dx}} = $

  ---

• If $u=x{{y}^{2}}{{\tan }^{-1}}\left( \frac{y}{x} \right)$, then $x{{u}_{x}}+y{{u}_{y}}=$

  ---

• The function $\frac{1}{1+{{x}^{2}}}$is decreasing in the interval

  ---

• If $y = {(\tan x)^{\cot x}}$, then $\frac{{dy}}{{dx}}\backslash $=

  ---

• $\frac{d}{{dx}}\left( {{{\tan }^{ - 1}}\sqrt {\frac{{1 + \cos \frac{x}{2}}}{{1 - \cos \frac{x}{2}}}} } \right)$is equal to

  ---