# 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.