Question

Find the intervals in which the function f given by f(x) = 2x³ − 3x² − 36x + 7 is
(a) strictly increasing

(b) strictly decreasing

Answer 1

The given function is f(x) = 2x³ − 3x² − 36x + 7.

The points x = −2 and x = 3 divide the real line into three disjoint intervals i.e.,

Hence, the given function (f) is strictly increasing in intervals

while function (f) is strictly decreasing in interval (−2, 3).