Thread: Implicit Differentiation #2

find dy/dx

3x^2+4xy^3=9
6x(dy/dx)+4y^3+4x3y^2(dy/dx)=0
dy/dx(6x+4x3y^2)=-4y^3

dy/dx=(-4y^3)/(12xy^2+6x)
dy/dx=(-4y^3)/6x(2y^2+1)

can someone check to see if this is correct?

Originally Posted by skeske1234

find dy/dx

3x^2+4xy^3=9
6x(dy/dx)+4y^3+4x3y^2(dy/dx)=0
dy/dx(6x+4x3y^2)=-4y^3

dy/dx=(-4y^3)/(12xy^2+6x)
dy/dx=(-4y^3)/6x(2y^2+1)

can someone check to see if this is correct?

sorry, it's not.

Just in case a picture helps...



Don't integrate - balloontegrate!
Balloon Calculus: worked examples from past papers