a) Найдем производную функции f(x) = √(x^3) - √x - 3x^18.
f'(x) = (1/2) (x^3)^(-1/2) 3x^2 - (1/2) x^(-1/2) - 3 18x^17f'(x) = (3/2) x^(3/2) - (1/2) x^(-1/2) - 54x^17
b) Найдем производную функции y = (1/7 - 3x^2)^35.
y' = 35 (1/7 - 3x^2)^34 (-6x)y' = -210x * (1/7 - 3x^2)^34
a) Найдем производную функции f(x) = √(x^3) - √x - 3x^18.
f'(x) = (1/2) (x^3)^(-1/2) 3x^2 - (1/2) x^(-1/2) - 3 18x^17
f'(x) = (3/2) x^(3/2) - (1/2) x^(-1/2) - 54x^17
b) Найдем производную функции y = (1/7 - 3x^2)^35.
y' = 35 (1/7 - 3x^2)^34 (-6x)
y' = -210x * (1/7 - 3x^2)^34