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Differentiation Formulas

Posted By: Adalgisa Miller     Category: C Programming     Views: 11233

Article of differentiation Formulas.

Differentiation Formulas

Working rules of Differentiation
d/dx(u + v) = d/dx(u) + d/dx(v)
d/dx(u - v) = d/dx(u) - d/dx(v)
d/dx(c * u) = c * d/dx(u)        ( c = constant)
d/dx(u * v) = v * d/dx(u) + u * d/dx(v)
d/dx(u / v) = (v * d/dx(u) - u * d/dx(v)) / v2
Differentiation formula
 d/dx (constant) = 0
d/dx(xn) = n*xn-1
d/dx(sin x) = cos x
d/dx(cos x) =  -sin x
d/dx(tan x) = sec2x
d/dx(cot x) = - cosec2x
d/dx (sec x) = sec x * tan x
d/dx (cosec x) = - cosec x * cot x
d/dx (ex) = ex
d/dx (ax) = ax logea
d/dx (logex) = 1/x
d/dx (sin-1x) = 1/sqrt(1-x2)
d/dx (cos-1x) = - 1/sqrt(1-x2)
d/dx (tan-1x) = 1/(1 + x2)
d/dx (cot-1x) = -1/(1+ x2)
d/dx (sec-1x) = 1/ |x| * sqrt(x2 -1)
d/dx (cosec-1x) = -1/ |x| * sqrt(x2 -1)
d/dx (sqrt(x2 +/- a2)) = x /sqrt(x2 +/- a2)
d/dx (sqrt(a2 - x2) = -x / sqrt(a2 - x2)
d/dx (sqrt(x)) = 1/ 2 * sqrt(x)
  
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Adalgisa Miller
Adalgisa Miller author of Differentiation Formulas is from Frankfurt, Germany.
 
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