How do you find the extreme values of the function and where they occur?

1 Answer
Teddy
Jul 5, 2018

See below.

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)=x^2-6x+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).

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