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pdf(ebook - pdf) - Mathematics - Common Calculus Formulas

pdf(ebook - pdf) - Mathematics - Common Calculus Formulas -...

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Unformatted text preview: Calculus Formulas by David Collet [email protected] 6/23/99 A) DIFFERENTIATION FORMULAS c=constant, f and g are functions 1) (cf)'=cf' 2) (f+g)'=f'+g' 3) (f-g)'=f'-g' 4) (fg)'=f'g+fg' 5) (f/g)'=(f'g-fg')/g^2 6) (d/dx)(x^n)=nx^(n-1) 7) (d/dx)c=0 B) DIFFERENTIATION of TRIGONOMETRIC FUNCTIONS 1) (d/dx)sinx=cosx 2) (d/dx)cosx=-sinx 3) (d/dx)tanx=sec^2(x) 4) (d/dx)cscx=-cscxcotx 5) (d/dx)secx=secxtanx 6) (d/dx)cotx=-csc^2(x) C) TRIGONOMETRIC IDENTITIES 1) sin^2(x)+cos^2(x)=1 2) tan^2(x)+1=sec^2(x) 3) cot^2(x)+1=csc^2(x) 4) tanx=sinx/cosx 5) cotx=cosx/sinx 6) cscx=1/sinx 7) secx=1/cosx 8) cotx=1/tanx Addition Formulas: 9) sin(x+y)=sinxcosy+cosxsiny 10) cos(x+y)=cosxcosy-sinxsiny 11) tan(x+y)=(tanx+tany)/(1-tanxtany) Subtraction Formulas: 12) sin(x-y)=sinxcosy-cosxsiny 13) cos(x-y)=cosxcosy+sinxsiny 14) tan(x-y)=(tanx-tany)/(1+tanxtany) Double Fngle Formulas: 15) sin2x=2sinxcosx 16) cos2x=cos^2(x)-sin^2(x) 17) cos2x=2cos^2(x)-1 18) cos2x=1-2sin^2(x) Half Angle Formulas: 19) cos^2(x)=(1+cos2x)/2...
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