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

8-35.

Is there a $c$ in the interval $[0, 1]$ for $f (x) = x^2 - x$ where $f ^\prime(c) = 0$? Justify your answer. Homework Help ✎

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