nn) (cx ncx nn) - Pauls Online Math Notes

Common derivatives and Integrals derivatives Basic Properties/Formulas/Rules d dx ( cf ( x ) ) = cf ( x ) , c is any constant. ( f ( x ) g ( x ) ) =f ( x ) g ( x ). d n dx ( x ) = nx n 1 , n is any number. d dx ( c ) = 0 , c is any constant. f f g f g . (f =g ) f g + f g (Product Rule) = (Quotient Rule). g g2. d dx ( ). f ( g ( x ) ) = f ( g ( x ) ) g ( x ) (Chain Rule). g ( x). dx e( ). d g ( x). = g ( x) e ( ). g x d dx ( ln g ( x ) ) =. g ( x). Common derivatives Polynomials d dx (c) = 0. d dx ( x) = 1. d dx ( cx ) = c d n dx ( x ) = nx n 1 d dx ( cx n ) = ncx n 1. Trig Functions d d d ( sin x ) = cos x ( cos x ) = sin x ( tan x ) = sec2 x dx dx dx d d d ( sec x ) = sec x tan x ( csc x ) = csc x cot x ( cot x ) = csc2 x dx dx dx Inverse Trig Functions d ( sin 1 x ) =. 1 d ( cos 1 x ) = . 1 d ( tan 1 x ) =. 1. 1 + x2. dx 1 x2 dx 1 x2 dx d ( sec 1 x ) =.

Common Derivatives and Integrals Visit http://tutorial.math.lamar.edu for a complete set of Calculus I & II notes. © 2005 Paul Dawkins Integrals Basic Properties/Formulas/Rules

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