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

3-135.

If a function

*f*(*x*) is increasing, such as the one below, what must be true about*f*′(*x*) ? Use this idea to determine algebraically where*f*(*x*) = 3*x*^{2}− 3*x*+ 1 is increasing. Homework Help ✎

If *f*(*x*) is increasing, then slopes are positive so *f* '(*x*) > 0.

Use the Power Rule to find *f* '(*x*).

Solve the inequality: *f* '(*x*) > 0.