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.

Let f(x)=x(x-1)^(2), find the point at which f(x) assumes maximum and minimum.

Let f(x)=(x-1)^(4) discuss the point at which f(x) assumes maximum or minimum value.

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

Find the local maximum and local minimumof f(x)=x^(3)+3x in [-2,4].

Let f(x)=x^4-x^3 then find f '(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: (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: (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 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