# How do you find the exact relative maximum and minimum of the polynomial function of #f(x) =2x^3-3x^2-12x#?

##### 1 Answer

Maximum

Minimum

#### Explanation:

Since the graph is not limited by a definition, we can just look for the extremal points through the dervivate of the function.

Dervivating the function with rule

After finding the

From here we can take several paths. Such as either use the quadratic equation or factorize to find the zero points. This will give us.

We can now put these numbers into the original function

These will be equal to coordinates, and we can with logic say which is which by this calculation. Since

So by that, we can say that.

Maximum

Minimum