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 $g(x)\ne 0$ 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
Canonical name	QuotientRule
Date of creation	2013-03-22 12:38:51
Last modified on	2013-03-22 12:38:51
Owner	Luci (289)
Last modified by	Luci (289)
Numerical id	13
Author	Luci (289)
Entry type	Theorem
Classification	msc 26A06