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:R->R be defined as f(x)=|x|+|x^2-1|dot The total number of points at which f attains either a local maximum or a local minimum is_______

Find the points of local maxima, local minima and the points of inflection of the function f(x)=x^5-5x^4+5x^3-1. Also, find the corresponding local maximum and local minimum values.

Find the points of local maxima, local minima and the points of inflection of the function f(x)=x^5-5x^4+5x^3-1 . Also, find the corresponding local maximum and local minimum values

Find the points of local maxima, local minima and the points of inflection of the function f(x)=x^5-5x^4+5x^3-1 . Also, find the corresponding local maximum and local minimum values

Let f(x)=-sin^3x+3sin^2x+5 on [0,pi/2] . Find the local maximum and local minimum of f(x)dot

Let f(x) = cos 2pix + x -[x]([*] denotes the greatest integer function). Then number of points in [0,10] at which f(x) assumes its local maximum value, is

Let f(x) be a polynomial of degree 3 such that f(-2)=5, f(2)=-3, f'(x) has a critical point at x = -2 and f''(x) has a critical point at x = 2. Then f(x) has a local maxima at x = a and local minimum at x = b. Then find b-a.