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How do you implicitly differentiate #15=x^2/y+y^2#?

1 Answer

Mar 18, 2018

#dy/dx=[2x]/[15-3y^2]#

Explanation:

#15=x^2/y +y^2# , Multiply both sides by #y#

#15y=x^2+y^3# and so differentiating implicitly with respect to #x#

#15dy/dx=2x+3y^2dy/dx#

#15dy/dx-3y^2dy/dx=2x#

#dy/dx[15-3y^2]=2x#

#dy/dx=[2x]/[15-3y^2]#.

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