For , the second derivative of a function is f''(x)= cases 2 & 0<x<3, -1 & 3<x<6.…
MATHEMATICS · Subjective · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions
Problem
For 0<x<6, the second derivative of a function f is
f′′(x)={2−10<x<3,3<x<6.
Identify the open intervals in (0,6) on which the first derivative f′ is increasing and those on which f′ is decreasing.