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Derivatives

December 27, 2018

Derivatives

  • $c$ is a constant
  • $f$, $g$ are functions of a variable $x$

Basic properties

Product rule

$(f.g)'=f'.g + g'.f$

Quotient rule

$(\frac{f}{g})'=\frac{f'.g-g'.f}{g^2}$

Chain rule

$(f \circ g)'=f' \circ g . g'$

Polynomials

$\frac{d}{dx}(c)=0$

$\frac{d}{dx}(x)=1$

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