Let `f(x)=sinx-x" on "[0,pi//2]` find local maximum and local minimum.

Let f(x)=x^(3) find the point at which f(x) assumes local maximum and local minimum.

Let f(x)=x^(3)-3x^(2)+6 find the point at which f(x) assumes local maximum and local minimum.

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 function. Also, find the local maximum and the local minimum values, as the case may be as follows: (iv) f(x) = sin x - cos x, 0 lt x lt 2 pi

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: (i) f(x = x^(2))

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: (iii) h(x) = sin x + cos x, 0 lt x lt pi/2

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: (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

At what points, the function f(x)=sinx-cosx,0ltxlt2pi , attains local maxima and minima.