Calculus

Limits, derivatives, and integrals.

Power Rule (Derivative)

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

Product Rule

\frac{d}{dx}(uv) = u'v + uv'

Quotient Rule

\frac{d}{dx}\left(\frac{u}{v}\right) = \frac{u'v - uv'}{v^2}

Chain Rule

\frac{dy}{dx} = \frac{dy}{du} \cdot \frac{du}{dx}

Power Rule (Integral)

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

Fundamental Theorem of Calculus

\int_a^b f(x) dx = F(b) - F(a)

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Calculus Formulas - Mathematics | Formulai