Question

3. For the function f(x) = 4x + 3x² - 6x +1 find the intervals of monotonicity,
intervals of concavity and points of inflection.​

Answer 1

4x3 + 3x2 – 6x + 1 f'(x) = 12x2 + 6x – 6 f”(x) = 24x + 6 f'(x) = 0 ⇒ 6(2x2 + x – 1) = 0 6(x + 1)(2x – 1) = 0