Find the equatioon of the tangent plane of the surface
z^2+x^2-4xy+y^2=2 at point (1,1,2) do i find fx and fy then using the equation of the tangent plane?
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This works a little different than when z = f(x,y)
you could solve for z and proceed
however there is an easier way
Use fx(1,1,2)(x-1) + fy(1,1,2)(y-1) + fz(1,1,2)(z-2) = 0
and then solve for z
O true I think i saw that equation later on the textbook when thier trying to talk about tangent planes to level surfaces thanks!
Hey also when solving for say fz fx or fy i perfrom the dervitive impicityly write? becuase z is a function of x and y correct or am i wrong?
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