The derivative is differentiable for all real numbers and satisfies the following: •…
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
The derivative g′(x) is differentiable for all real numbers and satisfies the following:
• g′(x) is increasing on (−∞,−1)
• g′(x) is decreasing on (−1,2)
• g′(x) is increasing on (2,∞)
Based on this information, at which x–value(s) does the graph of g have a point of inflection?
(a) Neither x=−1 nor x=2
(b) x=−1 and x=2
(c) x=2 only
(d) x=−1 only