Q23 of 292 Page 549

Find the intervals on which each of the following functions is (a) increasing (b) decreasing.

f(x)=x³-12x²+36x+17

f’(x)=3x²-24x+36

f’(x)=3(x²-8x+12)

=3(x-6)(x-2)

Function f(x) is decreasing for x ∈ [2,6] and increasing in x ∈ (-∞,2) ∪ (6, ∞)

Find the intervals on which the function is

(a) strictly increasing (b) strictly decreasing.

Find the intervals on which each of the following functions is (a) increasing (b) decreasing.