0. Formulae

# 0. Formulae - Table of Derivatives Throughout this table a...

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Table of Derivatives Throughout this table, a and b are constants, independent of x . F ( x ) F 0 ( x ) = dF dx af ( x ) + bg ( x ) af 0 ( x ) + bg 0 ( x ) f ( x ) + g ( x ) f 0 ( x ) + g 0 ( x ) f ( x ) - g ( x ) f 0 ( x ) - g 0 ( x ) af ( x ) af 0 ( x ) f ( x ) g ( x ) f 0 ( x ) g ( x ) + f ( x ) g 0 ( x ) f ( x ) g ( x ) h ( x ) f 0 ( x ) g ( x ) h ( x ) + f ( x ) g 0 ( x ) h ( x ) + f ( x ) g ( x ) h 0 ( x ) f ( x ) g ( x ) f 0 ( x ) g ( x ) - f ( x ) g 0 ( x ) g ( x ) 2 1 g ( x ) - g 0 ( x ) g ( x ) 2 f ( g ( x ) ) f 0 ( g ( x ) ) g 0 ( x ) 1 0 a 0 x a ax a - 1 g ( x ) a ag ( x ) a - 1 g 0 ( x ) sin x cos x sin g ( x ) g 0 ( x ) cos g ( x ) cos x - sin x cos g ( x ) - g 0 ( x ) sin g ( x ) tan x sec 2 x csc x - csc x cot x sec x sec x tan x cot x - csc 2 x e x e x e g ( x ) g 0 ( x ) e g ( x ) a x (ln a ) a x ln x 1 x ln g ( x ) g 0 ( x ) g ( x ) log a x 1 x ln a arcsin x 1 1 - x 2 arcsin g ( x ) g 0 ( x ) 1 - g ( x ) 2 arccos x - 1 1 - x 2 arctan x 1 1+ x 2 arctan g ( x ) g 0 ( x ) 1+ g ( x ) 2 arccsc x - 1 x 1 - x 2 arcsec x 1 x 1 - x 2 arccot

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0. Formulae - Table of Derivatives Throughout this table a...

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