ÒÀÁËÈÖß ÏÎÕIÄÍÈÕ

Ôóíêöiÿ f(x) Ïåðøà ïîõiäíà f'(x)

      y = const       (C)'=0

      y = xⁿ       y' = nx^n-1

      y = a^x       y' = a^xln(a)

      y = e^x       y' = e^x

      y = log_a(x)       y' = 1/(x ln(a))

      y = ln(x)       y' = 1/x

      y = sin(x)       y' = cos(x)

      y = cos(x)       y' = -sin(x)

      y = tg(x)       y' = 1/cos²(x)

      y = ctg(x)       y' = -1/sin²(x)

      y = arcsin(x)       y' =

      y = arccos(x)       y' = -

      y = arctg(x)       y' = 1/(1+x²)

      y =arcctg(x)       y' = -1/(1+x²)