# A differentiable function #f# has only one critical number: #x=-3#. Identify the relative extrema of #f# at (-3, f(-3)) if #f'(-4)=(1/2)# and #f'(-2)=-1#?

##### 1 Answer

Apr 20, 2017

#### Answer:

#### Explanation:

Since

Derivative have the intermediate value property.

Therefore, since

Similarly, since

Therefore