Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

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]#.

Related questions

See all questions in Implicit Differentiation

Impact of this question

1472 views around the world

You can reuse this answer
Creative Commons License