To define: The second derivative of function f.
(1) The second derivative is derivative of the derivative function.
(2) The second derivative exhibits whether a point with zero is critical point.
The second derivative is negative for the maximum point. The slope of the curve is at first positive, then goes through zero to become negative.
The second derivative is positive for the minimum point. The slope of the curve is at first negative, then goes through zero to become positive.
The second derivative and first derivative both are zero for the inflexion point at same time. It represents a point where the curvature is changing its sense. Inflexion points are relatively rare.
Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!