Difference between revisions of "Power rule"

Revision as of 22:24, May 3, 2010

WE ARE THE TK CONSERVAPEDIA DESTRUCTION ARMY Welcome to the guild TK

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-The power rule allows one to calculate the derivative of a power of a function in terms of the derivative of the function itself.  The power rule states that
+WE ARE THE TK CONSERVAPEDIA DESTRUCTION ARMY
+Welcome to the guild TK
-<math> \frac{d}{dx} (x^n) = nx^{n-1} </math>
-for all integers <math> n </math>.  This rule is useful when combined with the [[chain rule]].  As an example we can compute the derivative of <math> f(x) = (\sin(x))^n</math> as
-<math> f'(x) = \frac{d}{dx} (\sin(x))^n = n(\sin(x))^{n-1}\cos(x) </math>
-[[Category:Mathematics]]