Differentiation formula

Fomulae of Differentiation

  • ddx (c) = 0   Where c is constant.
  • ddx (cx) = c   Where c is constant.
  • dudt = dudxdxdt
  • ddx (u+v) = dudx + dvdx
  • ddx (uv) = u dvdx + v dudx
  • ddx ( xn ) = n xn-1  Where n is real number.
  • ddx un = n un-1  dudx   Where u is function of x.
  • ddx sin x = cos x
  • ddx cos x = -sin x
  • ddx tan x = sec2 x
  • ddx cot x = – cosec2 x
  • ddx sec x = tan x sec x
  • ddx cosec x = – cot x cosec x
  • ddx loge x = 1x
  • ddx loge u = 1u   dudx
  • ddx ( ex ) = ex
  • ddx ( eax ) = a eax
  • ddx sin ax = a cos ax
  • ddx sin (ax+b) = a cos (ax+b)
  • ddx cos ax = – a sin ax
  • ddx cos (ax+b) = – a sin (ax+b)