Find the local maxima or local minima, if any, of
(i) `f(x) = (1)/((x^(2) + 2))` (ii) `f(x) = (x^(3) - 3x)`
In each case, find the local maximum or the local minimum values, as the case may be

Find the local maxima or local minima of f(x) = x^(3) - 6x^(2) + 9x + 15 Also, find the local maximum or local minimum values as the case may be

Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: f(x)=(x-5)^4

Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: f(x)=cosx ,0

Find the points of local maxima or local minima, if any, of the following function, using the first derivative test. Also, find the local maximum or local minimum values, as the case may be: f(x)=x^3(x-1)^2

Find the points of local maxima or local minima,if any,of the following function,using the first derivative test.Also,find the local maximum or local minimum values,as the case may be: f(x)=(x-5)^(4)

Find the local maxima and local minima. If any of the following function. Also, find the local maximum and the local minimum values, as the case may be as follows: (vi) g(x) = x/2 + 2/x, x gt 0

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: (i) f(x) = x^(2) (ii) g(x) = x^(3) -3x

Find the local maxima and local minima. If any of the following function. Also, find the local maximum and the local minimum values, as the case may be as follows: (v) f(x) = x^(3) - 6x^(2) + 9x + 15

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be f(x) = sin x - cos x, 0 < x < 2 pi

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be k(x) = sin x + cos x , 0 < x < pi/2