# quotient rule

The quotient rule says that the derivative of the quotient $f/g$ of two differentiable functions $f$ and $g$ exists at all values of $x$ as long as $g(x)\not=0$ and is given by the formula

 $\frac{d}{dx}\ \left[\frac{f(x)}{g(x)}\ \right]=\frac{g(x)f^{\prime}(x)-f(x)g^{% \prime}(x)}{[g(x)]^{2}}$

The Quotient Rule and the other differentiation formulas allow us to compute the derivative of any rational function.

Title quotient rule QuotientRule 2013-03-22 12:38:51 2013-03-22 12:38:51 Luci (289) Luci (289) 13 Luci (289) Theorem msc 26A06