Y= 4x^4-5x^2/x^2+2 найти производную

Question

Y= 4x^4-5x^2/x^2+2 найти производную

Answer 1

Y=4x^4-5x^2/x^2+2=(4x^4-5x^2)'•(x^2+2)-4x^4-5x^2•(x^2+2)'/(x^2+2)^2=16x^3-10x•(x^2+2)-4x^4-5x^•2x/(x^2+2)^2=16x^3-20x^3-4x^4-20x/(x^2+2)^2=-4x^4-4x^3-20x/(x^2+2)^2