Производная

f(x) = c     c' = 0

f(x) = xa    (xa)' = a*xa-1

f(x) = sinx    (sinx)' = cosx

f(x) = cosx    (cosx)' = -sinx

f(x) = tgx    (tgx)' = 1 / cos²x

f(x) = ctgx    (ctgx)' = 1 / sin²x

f(x) = arcsinx    (arcsinx)' = 1 / √(1 - x²)

f(x) = arccosx    (arccosx)' = -1 / √(1 - x²)

f(x) = arctgx    (arctgx)' = 1 / (1 + x²)

f(x) = arcctgx    (arcctgx)' = -1 / (1 + x²)


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