Home > CALC > Chapter 6 > Lesson 6.1.2 > Problem 6-29
6-29.
Given:
For what value(s) of
is the graph non-differentiable, regardless of the values of and ? Explain what happens to at these points. has a cusp within the domain of one of the pieces. Where is it? Find values of
and so the graph is both continuous and differentiable at . Write a system of equations: [piece
of ] [piece of ], evaluated at . [piece of ] [piece of ], evaluated at .
Use algebra to solve forand .
Use the eTool below to visualize the problem.
Click the link at right for the full version of the eTool: Calc 6-29 HW eTool