6. Which of the following is an equation of the plane tangent to the surface xyz2 = 1 at the point (1,1,-1)?
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A. x + y – 2z = 4 |
B. x + y + z = 1 |
C. x + y – z = 3 |
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D. x + y + 2z = 0 |
E. x + y – 2z = 3 |
Solution: The answer is A
Let,
So that, the corresponding partial derivatives of F(x,y,z) at the point (1,1,-1) are,
Thus, the equation of the plane tangent to the given surface is given by,
