# How do you find local maximum value of f using the first and second derivative tests: #f(x)= 5x - 3#?

##### 1 Answer

I think you haven't any max or min here.

#### Explanation:

You can immediately recognize and say that your Linear function won't have a maximum. The graph of your function will be a straight line passing by

Anyway, we can test our assumption by deriving once:

Now you can set your derivative equal to zero to find your max or min, but:

If you derive again you would try to find the direction of the concavity (belly up or down) setting the second derivative greater than zero but this derivative will give you:

Graphically:

graph{5x-3 [-9.42, 10.58, 3.76, 13.76]}