# How do you find the local extremas for #g(x) = - |x+6|#?

##### 1 Answer

Nov 19, 2016

Differentiability is a stronger condition than continuity

You cannot use calculus as although the function is continuous everywhere, it is **not** differentiable everywhere, and specifically it is **not** differentiable at the extrema that we seek (which happens to be a maximum)

But we can plot the function

graph{-|x+6| [-10, 10, -5, 5]}

And observer that there is a maximum at