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Derivatives of Trigonometric Functions

Function Derivative
sinx cosx
cosx -sinx
sin2x 2∙sinxcosx = sin2x
cos2x -2∙sinxcosx = - sin2x
tanx = sec2x 1/(cos2x) = 1+tan2x
cotx = -csc2x -1/(sin2x) = -1-cot2x
secx secxtanx
cscx -cscxcotx
arcsinx = sin-1x 1/√(1-x2)
arccosx = cos-1x -1/√(1-x2)
arctanx = tan-1x 1/(1+x2)
arccotx = cot-1x -1/(1+x2)
arcsecx = sec-1x 1/(|x|∙√(x2-1))
arccscx = csc-1x -1/(|x|∙√(x2-1))


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