If you want an accurate solution, for sure you need to use newton method.

Relative extrema finder. Compute answers using wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. Geogebra extremum plots local extrema of a function and shows coordinates of these points in algebra view. The relative extrema of a function can either be a relative maximum or a relative minimum.

This geogebra applet finds local maxima an… Therefore, using the function, we can be able to find the absolute extrema in the following steps: F ( x) = cos ( x) − e x.

Let’s work through an example to see these steps in action. For math, science, nutrition, history. You simply set the derivative to 0 to find critical points, and use the second derivative test to judge.

Steps to finding the location of relative extrema of a function using the first derivative. Discover how you are related to prophets, presidents, and friends! After finding the extrema using the first derivative test, you can find out what kind of an extrema it is according to the value of the second derivative at that point:

To find the relative extremum points of , we must use. All other critical points are relative maxima and minima. Notice that f ′ ( x) does not change.

Observe that f ( x) does not have any relative extrema despite the fact that f ′ ( 0) = 0. Finding all critical points and all points where is. So we start with differentiating :