Question

5. Find all the points of local maxima and local minima of the function f given by
f(x) = 2x3 -6x2 +6x + 5.​

Answer 1

Step-by-step explanation:

To find extreme values of a function f, set f'(x)=0 and solve. This gives you the x-coordinates of the extreme values/ local maxs and mins.

For example. consider f(x)=x2−6x+5. To find the minimum value of f (we know it's minimum because the parabola opens upward), we set f'(x)=2x−6=0 Solving, we get x=3 is the location of the minimum. To find the y-coordinate, we find f(3)=−4. Therefore, the extreme minimum of f occurs at the point (3,−4)