MAT 1320 Lecture Notes - Inflection, Quotient Rule, Mean Value Theorem
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22 Feb 2014
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MAT 1320 Full Course Notes
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Definition and notation fxhf x f x lim h. 0 h yf x= all of the following are equivalent. If notations for derivative evaluated at x faydf a a= . x a dfdy dxdx xax a. Calculus cheat sheet then the derivative is defined to be yf x= If x cfcf fgfxg x fgfgf g ffgf g (cid:246) (cid:247) g (cid:230) (cid:231) If d x dx d dx d dx d dx d dx. Basic properties and formulas g x are differentiable functions (the derivative exists), c and n are any real numbers, n n d c ( ) 0 dx d xn x dx d fgxfgxg x dx. Power rule x a ln x e x x d aa dx d. =e dx d ln, dx d dx d dxx log, a a ln, x. ) 1 sincos x x x cossin x tansec x. Common derivatives csccsccot xx x x cotcsc x x x.
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