What is the second derivative?

The second derivative f″(x) is the derivative of f′(x). It describes how the slope of a function changes.

How does f″ relate to concavity?

If f″(x) > 0 on an interval, the graph is concave up. If f″(x) < 0, it is concave down.

Compute second derivatives to study concavity and acceleration in calculus problems.

Derivative Calculator

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