In mathematics (particularly in differential calculus), the derivative is a way to show how steep a function is at a given point. Derivatives are similar to the slope of a line, but can be used for other curves as well. It is sometimes called the "instantaneous rate of change" of a function.
More specifically, the derivative is the amount by which a function is changing at one given point. For functions that act on the real numbers, it is the slope of the tangent line at a point on a graph. The derivative is often written as ("dy over dx" or "dy upon dx", meaning the difference in y divided by the difference in x). The d is not a variable, and therefore cannot be cancelled out. Another common notation is —the derivative of function at point , usually read as " prime of ".[1][2][3]
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