Mathematics : Application of Derivatives

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals:

Find the absolute maximum value and the absolute minimum value of

Find the absolute maximum and minimum values of the function f given by
 f (x) = cos²x + sinx,  x ∊ [0, ].

Find the points at which the function f given by f (x) = (x – 2)⁴ (x + 1 )³ has
(i) local maxima (ii) local minima (iii) point of inflexion .

Examine the following function for extreme values:
f(x) = (x – 3)⁵ (x + 1)⁶

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be:
The constant function 

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be:
f(x) = x²

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be:

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be:

Find the local maxima or local minima, if any, of following functions using the first derivative test only. Find also the local maximum and the local minimum values, as the case may be: