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Derivative (calculus) (view source)
Revision as of 21:50, November 29, 2009
, 21:50, November 29, 2009Added section on partial derivatives
and so forth.
and so forth.
A common alternative notation is <math>f''(x)</math>, <math>f'''(x)</math>, and <math>f^{(n)}(x)</math>
A common alternative notation is <math>f''(x)</math>, <math>f'''(x)</math>, and <math>f^{(n)}(x)</math>.
===Partial derivatives===
A ''partial derivative'' is obtained by differentiating a function of multiple variables with respect to one variable while holding the rest constant. For example, the partial derivative of <tt>F(x,y)</tt> with respect to x, or <math>\frac{\partial}{\partial R}</math>, represents the rate of change of F with respect to x while y is constant. Thus, F could be [[windchill]], which depends both on wind velocity and actual [[temperature]]. <math>\frac{\partial windchill}{\partial velocity}</math> represents how much windchill changes with respect to wind velocity for a given temperature.
Partial derivatives are calculated just like full derivatives, with the other variables being treated as constants.
==Uses==
==Uses==