Let `f(x)` be a cubic function such that `f'(1)=f''(2)=0`. If `x=1` is a point of local maxima of f(x), then the local minimum value of f(x) occurs at

A function f is such that f'(2)=0 and f has a local maxima of -17atx=2. Then f(x) is defined as

Consider the following statements in respect of the function f(x)=x+(1)/(x), 1. The local maximum value of f(x) is less than its local minimum value. 2. The local maximum value of f(x) occurs at x=1. Which of the above statements is /are correct?

If f(x)=x^3+3x^2-9x+4 is a real function Find the point of local maxima or local minima of f(x) .

Let f(x) be a cubic polynomial with f(1) = -10, f(-1) = 6, and has a local minima at x = 1, and f'(x) has a local minima at x = -1. Then f(3) is equal to _________.

For the function, f(x)=sin2x, 0ltxltpi . Find the point of local maxima and local minima.

Find all points of local maxima and local minima of the function f given by f(x) = x^3-3x+3

Find all points of local maxima and local minima of the function f given by f(x)=x^3-3 x+3

Find all points of local maxima and local minima of the function f given by f(x)=x^3-3x+3 .

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

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