- #1
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I have been able to follow how to take the derivative of implicit functions, such as:
[tex]x^2+y^2-1=0[/tex]
Differentiating with respect to x
[tex]2x+2y\frac{dy}{dx}=0[/tex]
[tex]\frac{dy}{dx}=\frac{-x}{y}[/tex]
Sure it's simple to follow, but I don't understand why the [tex]\frac{dy}{dx}[/tex] is tacked onto the end of the differentiated variable y.
An explanation or article on the subject would be appreciated. Thanks.
[tex]x^2+y^2-1=0[/tex]
Differentiating with respect to x
[tex]2x+2y\frac{dy}{dx}=0[/tex]
[tex]\frac{dy}{dx}=\frac{-x}{y}[/tex]
Sure it's simple to follow, but I don't understand why the [tex]\frac{dy}{dx}[/tex] is tacked onto the end of the differentiated variable y.
An explanation or article on the subject would be appreciated. Thanks.