#### Question

Find the intervals in which the function *f* given by *f*(*x*) = 2*x*^{3} − 3*x*^{2} − 36*x* + 7 is

(a) strictly increasing

(b) strictly decreasing

#### Solution

The given function is *f*(*x*) = 2*x*^{3} − 3*x*^{2} − 36*x* + 7.

Hence, the given function (*f)* is strictly increasing in intervals `(-oo, -2) and (3, oo)` while function (*f)* is strictly decreasing in interval (−2, 3).

Is there an error in this question or solution?

Solution Find the Intervals in Which the Function F Given By F(X) = 2x3 − 3x2 − 36x + 7 is Strictly Increasing and Strictly Decreasing Concept: Increasing and Decreasing Functions.