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# Differentiation Formulas

Posted By: Adalgisa Miller     Category: C Programming     Views: 14829

### 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 author of Differentiation Formulas is from Frankfurt, Germany. View All Articles

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