If the gradient of f is f=x^2 j−3y i+2zx k and the point P=(6,7,5) lies on the level surface f(xyz)=0, find an equation for the tangent plane to the surface at the point P.
i found that z = (-36(x-6)+21(y-7))/60+5, but don't why the answer is wrong
How to find the equation of the tangent plane to a surface at a given point?
2014-04-05 7:22 pm
回答 (1)
2014-04-08 5:08 am
??? grad f (P) = < - 21 , 36 , 10 >....dot this with < x - 6 , y - 7 , z - 5 > and set answer to 0...
...and grad f = < -3y , x² , 2z > ???
...and grad f = < -3y , x² , 2z > ???
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