The Derivative: How Calculus Measures Instantaneous Rate Of Change

instantaneous rate of change AKA

derivative at given value

The instantaneous rate of change is also known as the derivative. It is a measure of how much a function changes at a specific point or instant. It is represented mathematically as the slope of the tangent line to the function at that point. The derivative is an important concept in calculus and is used to calculate maximums and minimums, inflection points, and other critical features of functions. It is denoted by the symbol dy/dx for a function y(x), and can be calculated using various formulas and techniques such as the limit definition, power rule, product rule, quotient rule, and chain rule.

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