Second Derivative

In calculus, the second derivative of a function ƒ is the derivative of the derivative of ƒ. Roughly speaking, the second derivative measures how the rate of change of a quantity is itself changing; for example, the second derivative of the position of a vehicle with respect to time is the instantaneous acceleration of the vehicle, or the rate at which the velocity of the vehicle is changing.

On the graph of a function, the second derivative corresponds to the curvature or concavity of the graph. The graph of a function with positive second derivative curves upwards, while the graph of a function with negative second derivative curves downwards.

Read more about Second DerivativeThe Second Derivative Power Rule, Notation, Example, Limit, Quadratic Approximation, Eigenvalues and Eigenvectors of The Second Derivative

Other articles related to "second derivative":

Second Derivative - Generalization To Higher Dimensions - The Laplacian
... Another common generalization of the second derivative is the Laplacian ... This is the differential operator defined by The Laplacian of a function is equal to the divergence of the gradient ...

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