differentiation

Related Questions

• $\frac{d}{{dx}}{\sin ^{ - 1}}(3x - 4{x^3}) = $

  ---

• If $y = {(\sin x)^{{{(\sin x)}^{(\sin x)......\infty }}}}$, then $\frac{{dy}}{{dx}} = $

  ---

• If $f(x)={{\tan }^{-1}}\left\{ \frac{\log \left( \frac{e}{{{x}^{2}}} \right)}{\log (e{{x}^{2}})} \right\}+{{\tan }^{-1}}\left( \frac{3+2\log x}{1-6\log x} \right)$, then $\frac{{{d}^{n}}y}{d{{x}^{n}}}$ is $(n\ge 1)$

  ---

• If $x = \frac{{2\,t}}{{1 + {t^2}}},\,\,y = \frac{{1 - {t^2}}}{{1 + {t^2}}},$then $\frac{{d\,y}}{{d\,x}}$ equals

  ---

• The normal of the curve $x=a(\cos \theta +\theta \sin \theta )$ $y=a(\sin \theta -\theta \cos \theta )$ at any $\theta $ is such that

  ---