MATHEMATICS · Subjective · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
For a differentiable function g, the sign of g′(x) is given below:
• g′(x)>0 on (−∞,−4)
• g′(x)=0 at x=−4
• g′(x)<0 on (−4,0)
• g′(x) is undefined at x=0
• g′(x)>0 on (0,3)
• g′(x)=0 at x=3
• g′(x)<0 on (3,∞)
Indicate the interval(s) on which g is increasing and the interval(s) on which g is decreasing.