### Home > CALC > Chapter 8 > Lesson 8.1.3 > Problem8-35

8-35.

Is there a c on the interval [0,1] for f(x) = x2x 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.