anonymous
  • anonymous
implicit differentiation for: (2x-3x)^2=x^2+y^2? help...
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
Differentiate each term. Differentiate y and tag on a dy/dx as a chain rule. Solve for dy/dx
anonymous
  • anonymous
assuming \[(2x-3y)^2 =x^2 +y^2\]
anonymous
  • anonymous
differentiate both sides with respect to x

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anonymous
  • anonymous
\[2(2x-3y) ( 2 -3\frac{dy}{dx}) =2x +2y \frac{dy}{dx}\]
anonymous
  • anonymous
the term on the LHS had chain rule applied to it now just solve for dy/dx you can do that, its just algebra

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