Find the intervals on which each of the following functions is (a) increasing (b) decreasing.
f(x)=2x3-24x+5
f’(x)=6x2-24
f’(x)=6(x2-4)
=6(x-2)(x+2)
Function f(x) is decreasing for x ∈ [-2,2] and increasing in x ∈ (-∞,-2) ∪ (2, ∞)
1
Find the intervals on which each of the following functions is (a) increasing (b) decreasing.
f(x)=2x3-24x+5
f’(x)=6x2-24
f’(x)=6(x2-4)
=6(x-2)(x+2)
Function f(x) is decreasing for x ∈ [-2,2] and increasing in x ∈ (-∞,-2) ∪ (2, ∞)