# How do you find and classify all the critical points and then use the second derivative to check your results given #h(t)=-4.9t^2+39.2t+2#?

##### 1 Answer

Aug 24, 2016

You first need to find the critical points where

#### Explanation:

Let's calculate first the first derivative

Hence,

Let's calculate now the second derivative in

Since the second derivative is negative in the critical point, the function has a maximum at that point.