I'm having trouble working out the tangent plane of an equation at a specified point (4,1,-2)(adsbygoogle = window.adsbygoogle || []).push({});

The equation being [tex]9x^2 - 4y^2 - 25z^2 = 40[/tex]

now

[tex]\nabla f = (18x, -8y, -50z)[/tex] yeh?

Just reading off this should give us the normal vector shouldn't it? (18,-8,-50)

and from that we can work out the equation of the plane.

18(x-4) - 8(y-1) -50(z-(-2)) = 0

Is this corrent or am I using a horribly flawed method?

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# Tangent Plane And Normal Vector.

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