Differentiate!!!!!!!!!Express in simplified form~

Y = f(X) g(X)

dy/dx = f(x)dg(x)/dx + g(x)df(x)/dx


therefore Y=7X(X^2+1)^2/(3X+10)^4
can be view as Y=[7X] [(X^2+1)^2] [(3X+10)^(-4)]

dy/dx = 7[(X^2+1)^2] [(3X+10)^(-4)] + [7X] [2(X^2+1)2X] [(3X+10)^(-4)] + [7X] [(X^2+1)^2] [(-4)[3(3X+10)^(-5)]

simplfied :

7[(X^2+1)^2] [(3X+10)^(-4)] + [7X] [2(X^2+1)2X] [(3X+10)^(-4)] + [7X] [(X^2+1)^2] [(-4)[3(3X+10)^(-5)]

y=7x(x^2+1)^2/(3x+10)^4
d[7x(x^2+1)^2]/dx
=7x d [(x^2+1)^2]/dx + (x^2+1)^2 d(7x)/dx
=28x^2 (x^2+1) + 4 (x^2+1) + 7(x^2+1)^2
=(35x^2+11) (x^2+1)

d[(3x+10)^4]/dx
=12(3x+10)^3

dy/dx=(3x+10)^4 (35x^2+11) (x^2+1) - 7x(x^2+1) [12(3x+10)^3] / (3x+10)^8
=(3x+10)^4 (35x^2+11) (x^2+1) - 84x (x^2+1) / (3x+10)^5