Question #36537
1 Answer
Oct 30, 2016
Explanation:
Differentiate both sides of the equation with respect to
So
Now differentiate again w.r.t.
Get rid of the common factor
# = (3x^2y-3x^3dy/dx)/y^4#
Replace
# = (3x^2y-3x^3 x^3/y^3)/y^4#
Clear the fraction in the numerator by multiplying by
# = (3x^2y^4-3x^6)/y^7#
Factor the numerator.
# = (3x^2(y^4-x^4))/y^7#
Recognize the opposite of the initial expression.