## Calculus, 10th Edition (Anton)

$\text{False}$
A function can have a positive derivative (be increasing) at one point, but whether the function is increasing on an interval requires more information. As a counterexample, $f'(1)$ is greater than 0 for $f(x)=(x-0.5)^{2}$, but at $x=0$, the function is decreasing.