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 Derivative: The 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 ...

### Famous quotes containing the word derivative:

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—Wyndham Lewis (1882–1957)