Question

ПОМОГИТЕ ПОЖАЛУЙСТА СРОЧНО. дам 56 баллов

Answer 1

а)

$y = x^{10}\\\\y' = (x^{10})' = \boxed{10x^9}$

б)

$y = \dfrac{1}{x^{9}} = x^{-9}\\\\\\y' = (x^{-9})' = -9x^{-10} = \boxed{-\dfrac{9}{x^{10}}}$

в)

$y = \dfrac{x}{x^5} = x^{1-5} = x^{-4}\\\\\\y' = (x^{-4})' = -4x^{-5} = \boxed{-\dfrac{4}{x^5}}$

г)

$y = x^2 \cdot x = x^{2+1} = x^3\\\\y' = (x^3)' = \boxed{3x^2}$