# How do you find local maximum value of f using the first and second derivative tests: #f(x) = x + sqrt(9 − x) #?

##### 1 Answer

Aug 28, 2016

#### Explanation:

For local maxima or minima

Hence

Now consider

Hence

This may be seen by the graph of

graph{x+sqrt(9-x) [7.9024, 9.588, 8.735, 9.5774]}