Derivatives - calculus

Question

Compute the following derivatives. Assume a and b are constants, f and g are functions, and x is the input variable. Your answers may include any or all of the symbols x, a, b, f and g, as well as the derivatives of f and g.

y= x+f/g = __________________

Answer 1

this one is not so hard

y'=1+(f'g-fg')/g²

more difficult was y=x^2f(x)

it is not simply y'=2f(x)x^2f(x)-1

taking integral (corrected) does not return function

y is variable x to a variable exponent 2f(x)

need to use properties of ln

lny=2f(x)lnx

y'/y=2f(x)/x+l2f'(x)lnx

y'=[x^2f(x)](2f(x)/x+l2f'(x)lnx)