Matte elementära derivator

The exercise was created 2020-03-14 by Glosorpi. Question count: 17.

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  • f(x) = k(konstant) f'(x) = 0
  • f(x) = x f'(x) = 1
  • f(x) = nx f'(x) = n
  • f(x) = x^n f'(x) = nx^(n-1)
  • f(x) = 1/x f'(x) = -1/(x^2)
  • f(x) = sqrt(x) f'(x) = 1/(2sqrtx)
  • f(x) = ln(x) f'(x) = 1/x
  • f(x) = e^x f'(x) = e^x
  • f(x) = sin(x) f'(x) = cos(x)
  • f(x) = cos(x) f'(x) = -sin(x)
  • f(x) = tan(x) f'(x) = 1 + tan^(2)x
  • f(x) = arcsin(x) f'(x) = 1/(sqrt(1-x^2))
  • f(x) = arccos(x) f'(x) = -1/(sqrt(1-x^2))
  • f(x) = arctan(x) f'(x) = 1/(1+x^2)
  • f(x) = h(x)g(x) (Produkt) f'(x) = h'(x)g(x) + h(x)g'(x)
  • f(x) = h(x)/g(x) (Kvot) f'(x) = (h'(x)g(x)-h(x)g'(x))/g(x)^2
  • f(x) = h(g(x)) (Kedje) f'(x) = h'(g(x))g'(x)

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