Second Derivative Test: Second Derivative Test, Second Derivative, Calculus, Function Mathematics, Derivative, Acceleration, Velocity, Graph of a Function, Curvature, Leibnizs Notation, Convex Function -
Second Derivative Test: Second Derivative Test, Second Derivative, Calculus, Function Mathematics, Derivative, Acceleration, Velocity, Graph of a Function, Curvature, Leibnizs Notation, Convex Function
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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 derivativ ...Full description
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. 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.