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2.2.2导数的基本公式 (C)'=0 (x“)'=c4-1 (sinx)'=cosx (cosx)'=-sinx (tanx)'=sec2x (cotx)=-csc2x (secx)=secxtanx (cscx)=-cscxcotx (a*)'-a*Ina (ex)'=ex 1 (logax)= (nxY=I xlna 1 (arcsinx)= (arccosx)=- W1-x2 V1-x2 1 (arccotx)=- (arctanx)= 1+x2 1+x2 上页 返回15 2.2.2 导数的基本公式 x x x x x x x C (sec ) sec tan (tan ) sec (sin ) cos ( ) 0 2 ′ = ′ = ′ = ′ = x x x x x x x x x (csc ) csc cot (cot ) csc (cos ) sin ( ) 2 1 ′ = − ′ = − ′ = − ′ = µ µ− µ x a x a a a a x x ln 1 (log ) ( ) ln ′ = ′ = x x e e x x 1 (ln ) ( ) ′ = ′ = 2 2 1 1 (arctan ) 1 1 (arcsin ) x x x x + ′ = − ′ = 2 2 1 1 ( cot ) 1 1 (arccos ) x x x x + ′ = − − ′ = − arc
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