# What are the local extrema, if any, of #f (x) =(x^3−4 x^2-3)/(8x−4)#?

##### 1 Answer

Sep 30, 2017

The given function has a point of minima, but surely doesnot have a point of maxima.

#### Explanation:

The given function is:

Upon diffrentiation,

For critical points, we have to set, f'(x) = 0.

This is the point of extrema.

To check whether the function attains a maxima or minima at this particular value, we can do the second derivative test.

Since the second derivative is positive at that point, this implies that the function attains a point of minima at that point.