# How do you find all local maximum and minimum points using the second derivative test given #y=6x+sin3x#?

##### 1 Answer

Jul 29, 2017

There are none.

#### Explanation:

Method:

Find critical numbers, the test the critical numbers using the second derivative test.

A critical number for function

This question:

#f(x) = 6x+sin(3x)

Domain of

But this has no real solutions.

Therefore there are no critical numbers for