Find (d^2)y/d(x^2) in terms of x and y of (x^2)(y^2) - 6 x = 6 using implicit differentiation (2(x^2)(y^4)-3x(y^2)-3)/((x^4)(y^3) is not the right answer and i'm not sure y.

Implicit differentiation one time

then solve for dy/dx
then take derivitive again
I will explain later

first time
dy/dx

solve for
add 6 to both sides and minus 2xy²

divide both sides by 2yx²



now we do it again
but this time, if you take the derivitive of y, we replace it with dy/dx or

use quotient rule






just simplify because I don't have my calculator right now

(m+11n)^2=(m+11n)(m+11n)=m^2+11mn+11mn+121n^2=m^2+22mn×121n^2 for example; use foil: (a+b)(a+b)first. a^2outside. abinside. ablast. b^2