Question

Найти производную ,только 1задание

Answer 1

f(x) = x^2 * sqrt(x) = x^2 * x^(1/2) = x^(5/2)
f' = 5/2 x^(3/2) = 2.5xsqrt(x)

f(x) = (x^2+5)/(x-2)
f' = 1/(x-2)^2  * (2x(x-2) - (x^2+5)) =
(2x^2 - 4x - x^2 - 5)/(x-2)^2 = (x^2 - 4x -5)/(x-2)^2

f(x) = (3x-2)^5
f' = 5(3x-2)^4 * 3 = 15(3x-2)^4