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 x2+3y=0

 Sep 3, 2016
 #2
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You want the gradient of

 

\( x^2+3y=0\\ y=\frac{-x^2}{3}\)

 

This is a parabola so it has a different slope at every point.

 

The gradient of thge tangent at any given point is given by      

 

\(y'(x)=\frac{-2x}{3}\)

 Sep 3, 2016

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