Curve Sketching
First Derivative
Let f be continuous on an interval I and differentiable on the interior of I.
If f' (x) > 0 for all x ∈ I , then f is increasing on I.
If f' (x) < 0 for all x ∈ I , then f is decreasing on I.
Find out more about curve sketching by reading the explanation below.
Practice: Answer the following exercises about curve sketching.