The second derivative tells about the slope of the first derivative.

Question

Quizplus · Accepted Answer

The second derivative of a function gives information about the rate of change of the first derivative, which corresponds to the concavity of the original function. Specifically, a positive second derivative indicates that the slope of the first derivative is increasing (the function is "curving upwards"), while a negative second derivative indicates that the slope of the first derivative is decreasing (the function is "curving downwards").

The Second Derivative Tells About the Slope of the First