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Mathematics LibreTexts

3: Rules for Finding Derivatives

It is tedious to compute a limit every time we need to know the derivative of a function. Fortunately, we can develop a small collection of examples and rules that allow us to compute the derivative of almost any function we are likely to encounter. Many functions involve quantities raised to a constant power, such as polynomials and more complicated combinations like \(y=(\sin x)^4\). So we start by examining powers of a single variable; this gives us a building block for more complicated examples.