2. Derivatives with the Power Rule

Use the power rule and basic derivative properties to differentiate polynomial, radical, and reciprocal expressions. Extend the rule to negative and fractional exponents and use it to find higher-order derivatives.

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Lecture Video

Derivatives with the Power Rule

Proof

Optional: see why this derivative rule works rather than only memorizing the formula.

Proof of the Power Rule for Derivatives

Additional Example

Extra Examples of Derivatives Using the Power Rule

Basic Derivatives

Assignment Answer Key

Derivatives with the Power Rule Practice