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![4. Find an equation of the tangent plane at \( (2,0,1) \) to the surface
\[
x^{2} z-y z^{2}+y^{2}=4
\]](https://media.cheggcdn.com/study/9b8/9b8ad7b6-3e6e-40b1-989f-320562c2b049/image)
Expert Answer
Given surface x2z?yz2+y2=4 at (2,0,1) we have equation of tangent plane is given by fx(x0,y0,z0)(x?x0)+fy(x0,y0,z0)(y?y0)+fz(x0,y0,z0)(z?z0)=0---(a)