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Made up of or marked by derived elements At each point on the graph, the derivative value is the slope of the tangent line at that point. Something that is obtained from, grows out of, or results from an earlier or more fundamental state or condition.

The derivative is often described as the instantaneous rate of change, the ratio of the instantaneous change in the dependent variable to that of the independent variable Just like a slope tells us the direction a line is going, a derivative value tells us the direction a curve is going at a particular spot [1] the process of finding a derivative is called differentiation

There are multiple different notations for differentiation.

There are several different kinds of derivatives, including futures, forwards, swaps, and options A derivative is a kind of financial contract between two or more parties, the value of which. In this section we define the derivative, give various notations for the derivative and work a few problems illustrating how to use the definition of the derivative to actually compute the derivative of a function. Calculate the derivative of a given function at a point

Describe the velocity as a rate of change Explain the difference between average velocity and instantaneous velocity Estimate the derivative from a table of values. Derivative, in mathematics, the rate of change of a function with respect to a variable

Derivatives are fundamental to the solution of problems in calculus and differential equations.

The derivative of a function describes the function's instantaneous rate of change at a certain point Another common interpretation is that the derivative gives us the slope of the line tangent to the function's graph at that point. The derivative of a function is the rate of change of the function's output relative to its input value Given y = f (x), the derivative of f (x), denoted f' (x) (or df (x)/dx), is defined by the following limit

The definition of the derivative is derived from the formula for the slope of a line. A derivative is the rate of change of a function with respect to a variable

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