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

3-135.
  1. 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) = 3x2 − 3x + 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.