### Home > CALC > Chapter 8 > Lesson 8.1.3 > Problem 8-35

8-35.

Is there a *c *on the interval [0,1] for* f*(*x*) = *x*^{2} − *x* where *f *′(*c*) = 0 ? Justify your answer. Homework Help ✎

If *f*(*x*) is continuous AND differentiable on the given domain, then the Mean Value Theorem will apply.