[最も好ましい] x^2 y^2-3xy=1 find dy/dx 141096
Use the fact that the given equation is homogeneous $$ \frac{dy}{dx}=\frac{x^28y^2}{3xy} $$ First I multiply the right side by $$ \frac{\frac{1}{x^2}}{\frac{1}{ Stack Exchange Network Stack Exchange network consists of 178 Q&A communities including Stack Overflow , the largest, most trusted online community forFind dy/dx x^23xyy^2=1 Differentiate both sides of the equation Differentiate the left side of the equation Tap for more steps Differentiate Tap for more steps By the Sum Rule, the derivative of with respect to is Differentiate using the Power Rule which states that is whereGet an answer for 'Find dy/dx by implicit differentiation x^25xy3y^2=7' and find homework help for other Math questions at eNotes 1 X^2 y^2-3xy=1 find dy/dx