A surface S is described by the equation f(x, y, z) = n where f(x, y, z) = yz + nx²y+ yz³ 3 (a) Find the equation of the tangent plane to the surface S at the point P(1, 1,0). (b) Find the directional derivative of the function f(x, y, z) at the point P(1,1,0) and in the direction u =ni-j+nk

Advanced Engineering Mathematics
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5. A surface S is described by the equation f(x, y, z) = n where
f (x, y, z) = yz + nx²y+ yz³
(a) Find the equation of the tangent plane to the surface S at the point P(1,1,0).
(b) Find the directional derivative of the function f(x, y, z) at the point P(1, 1,0) and in the
direction u = ni-j+nk
Transcribed Image Text:5. A surface S is described by the equation f(x, y, z) = n where f (x, y, z) = yz + nx²y+ yz³ (a) Find the equation of the tangent plane to the surface S at the point P(1,1,0). (b) Find the directional derivative of the function f(x, y, z) at the point P(1, 1,0) and in the direction u = ni-j+nk
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