Книга: Second Derivative Test: Second Derivative Test, Second Derivative, Calculus, Function Mathematics, Derivative, Acceleration, Velocity, Graph of a Function, ... Leibniz's Notation, Convex Function

High Quality Content by WIKIPEDIA articles! In calculus, a branch of mathematics, the second derivative test is a criterion often useful for determining whether a given stationary point of a function is a local maximum or a local minimum using the value of the second derivative at the point. In calculus, the second derivative of a function ? is the derivative of the derivative of ?. 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.