Differentiation rules Common derivatives and integrals Standard integration techniques Elementary rules of differentiation Differentiation is linear The product rule The chain rule The inverse function rule Power laws, polynomials, quotients and reciprocals The polynomial or elementary power rule The reciprocal rule The quotient rule Generalized power rule Derivatives of exponential and logarithmic functions Logarithmic derivatives Derivatives of trigonometric functions Derivatives of hyperbolic functions Derivatives of special functions Derivatives of integrals