Consider the function whose derivative is k'(x)= (x+2)^ 2/3 (x-5) x-1 , -3 x 6
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
Consider the function whose derivative is
k′(x)=x−1(x+2)2/3(x−5),−3≤x≤6.
On which of the following collections of open intervals is k increasing on the given domain?
(a) (−3,1)∪(5,6)
(b) (−2,1)∪(5,6)
(c) (−3,−2)∪(5,6)
(d) (−3,−2)∪(1,5)