differentiation

Related Questions

• $\frac{d}{{dx}}\left[ {\left( {\frac{{{{\tan }^2}2x - {{\tan }^2}x}}{{1 - {{\tan }^2}2x{{\tan }^2}x}}} \right)\cot 3x} \right]$

  ---

• The radius of a cylinder is increasing at the rate of 3 m/sec and its altitude is decreasing at the rate of 4m/sec. The rate of change of volume when radius is 4 metres and altitude is 6 metres is

  ---

• If $y={{\sin }^{-1}}\frac{2x}{1+{{x}^{2}}}+{{\sec }^{-1}}\frac{1+{{x}^{2}}}{1-{{x}^{2}}}$, then $\frac{dy}{dx}$=

  ---

• The minimum value of function $f(x)=3{{x}^{4}}-8{{x}^{3}}+12{{x}^{2}}-48x+25$ on [0, 3] is equal to

  ---

• The area of a rectangle will be maximum for the given perimeter, when rectangle is a

  ---