For what x-values is g(x)=|x-7|+4 not differentiable?

[viathanmk1]

g(x)=|x-7|+4

For what x-values is the function not differentiable?
g'(0)=
g'(1)=
g'(10)=
g'(14)=

When I differentiate, I get the answer of (x-7/|x-7|) but that just does not look right to me. All the answers would be 1. Is this correct?

 

[stapel]

g(x)=|x-7|+4
For what x-values is the function not differentiable?

Look at the graph. Think about what is required for differentiability. In particular, think about the existence of two-sided limits.

 

[viathanmk1]

Look at the graph. Think about what is required for differentiability. In particular, think about the existence of two-sided limits.

Got it. Thank you very much. Easier than it looked.