Keywords

#second_derivative

Second derivative

Mathematical operation

In calculus, the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative can be phrased as "the rate of change of the rate of change"; for example, the second derivative of the position of an object with respect to time is the instantaneous acceleration of the object, or the rate at which the velocity of the object is changing with respect to time. In Leibniz notation: where a is acceleration, v is velocity, t is time, x is position, and d is the instantaneous "delta" or change. The last expression is the second derivative of position with respect to time.

Wed 28th

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Second derivative Derivative Symmetry of second derivatives Second partial derivative test Derivative test Partial derivative Eigenvalues and eigenvectors of the second derivative Inflection point Notation for differentiation Vector calculus identities
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