### Home > CALC > Chapter 3 > Lesson 3.3.4 > Problem3-135

3-135.

If a function $f(x)$ is increasing, such as the one below, what must be true about $f^\prime(x)$ ? Use this idea to determine algebraically where $f(x) = 3x^2 − 3x + 1$ is increasing.

If $f(x)$ is increasing, then slopes are positive so $f^\prime(x) > 0$.

Use the Power Rule to find $f^\prime(x)$.

Solve the inequality: $f^\prime(x)> 0$.