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Implicit Differentiation Procedure: Assume that an equation of the form F(x,y)=G(x,y) defines y implicitly as a function of x. The derivative dy/dx can be found in the four steps listed below.

Put the steps in the right order.


1 2 3 4 Factor dy/dx from the side involving the dy/dx terms

1 2 3 4 Collect all terms involving dy/dx on one side of the equation, and collect all other terms on the other side.

1 2 3 4 Solve for dy/dx.

1 2 3 4 Differentiate both sides of the equation with respect to x.

2007-02-11 17:08:08 · 2 answers · asked by Anonymous in Science & Mathematics Mathematics

2 answers

Differentiate both sides

collect all terms

factor

solve

2007-02-11 17:10:44 · answer #1 · answered by black_lotus007@sbcglobal.net 3 · 0 0

1) Differentiate both sides of the equation with respect to x
2) Collect all terms involving dy/dx on one side of the equation, and collect all other terms on the other side.
3) Factor dy/dx from the side involving the dy/dx terms
4) Solve for dy/dx.

2007-02-12 01:26:27 · answer #2 · answered by radne0 5 · 0 0

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