Saturday, February 11, 2012

Regard y as the independent variable and x as the dependent variable and use implicit differentiation?

Regard y as the independent variable and x as the dependent variable and use implicit differentiation to find dx/dy.



((x^4)(y^2)) 鈭?((x^3)y) + 5xy^3 = 0Regard y as the independent variable and x as the dependent variable and use implicit differentiation?
(4x^3)(dx/dy)(y^2) + (x^4)(2y) - (3x^2)(dx/dy)(y) - (x^3) + (5)(dx/dy)(y^3) + (5x)(3y^2) = 0



Then just isolate dx/dy. Im not gonna do all that for you it will take too long to type haha. Basically just take the derivative of everything with respect to y instead of x.Regard y as the independent variable and x as the dependent variable and use implicit differentiation?
Step 1. Swap x and y's and find dy/dx.

Step 2. Once you have differentiated and solved for dy/dx, switch back each x to y and y to x and make it a dx/dy.
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