The first derivative test uses only the first derivative to classify the critical points of the function. The second derivative test uses the second derivative instead to classify the critical point.

Learn to define what first derivatives are. Learn how to find the first derivative of functions. Discover the first derivative formula and see examples.

Note the sign of f ′ (x) since the sign of the first derivative indicates if the function is increasing or decreasing on the interval. For the interval (∞, 2), we can test the sign of the ...

Learn how to find the location of relative extrema of a function using the first derivative, and see examples that work through sample problems step-by-step to improve your math knowledge …

Learn the definition of concavity and how to find inflection points. Understand the step-by-step processes for finding inflection points and intervals of concavity.

The First Derivative Test is a test in calculus which is used to determine the relative extrema of a given function. It uses the first derivative of the function to determine the critical points, and …

The first derivative test is inconclusive if the function hasn't slope of the tangent line at this point, for example, the function has a vertical... See full answer below.

1) The graph of the following function has one relative maximum point and one relative minimum point. Find these points using the first derivative test. f (x) = x 3 6 x 2 + 9 x + 4 2) The graph of …

Learn how to find local extrema by checking critical points of a function, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.