Question

Найдите производную функции y=(5x^4/5+2/x)(2x^4-x)

Answer 1

$y'=[(5x^{4/5}+2/x)(2x^4-x)]' = \ \ = (10x^{24/5}- 5x^{9/5} +4x^3-2)' = \ \ = 10 * frac{24}{5} x^{19/5} - 5 * frac{9}{5} x^{4/5} +12x^2 = \ \ = 48x^{19/5} - 9x^{4/5} +12x^2$