differentiation

Related Questions

• If $f(x) = ({\log _{\cot x}}\tan x){({\log _{\tan x}}\cot x)^{ - 1}},$then $f'(2) = $

  ---

• $\frac{{{d}^{2}}}{d{{x}^{2}}}(2\cos x\,\cos 3x)=$

  ---

• If $x = a{\rm{ }}\left( {\cos t + \log \tan \frac{t}{2}} \right)\,,y = a\sin t,$then $\frac{{dy}}{{dx}} = $

  ---

• Maximum value of $x{{(1-x)}^{2}}$ when $0\le x\le 2$ , is

  ---

• A population p(t) of 1000 bacteria introduced into nutrient medium grows according to the relation $p(t)=1000+\frac{1000t}{100+{{t}^{2}}}$ . The maximum size of this bacterial population is

  ---