Question

найти производную функции: у=(3х^3+1/х^4)(2sqrt(x)-2х^3)

Answer 1

$y=(3x^3+1/x^4)(2sqrt{x}-2x^3)\ (3x^3+1/x^4)' = 9x^2-4x^{-5}\ (2sqrt{x}-2x^3)'=(x^{-1/2}-6x^2)\ y'=(9x^2-4x^{-5})(2x^{1/2}-2x^3)+(3x^3+x^{-4})(x^{-1/2}-6x^2)$