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Calculus Formulas

Derivatives, integrals, limits, and series formulas.

\frac{d}{dx}(x^n) = nx^{n-1}

Finds the derivative of power functions.

\frac{d}{dx}[f(x)g(x)] = f'(x)g(x) + f(x)g'(x)

Finds the derivative of a product of two functions.

\frac{d}{dx}[f(g(x))] = f'(g(x)) \cdot g'(x)

Finds the derivative of composite functions.

\int x^n \, dx = \frac{x^{n+1}}{n+1} + C

Finds the integral of power functions.