Question
Let f (x, y) = x^3 - 7xy + e^y be a function of two variables. (a) Explain why f is differentiable at (-1, 0).
Let f (x, y) = x^3 - 7xy + e^y be a function of two variables. (a) Explain why f is differentiable at (-1, 0). (b) Find the equation of the tangent plane at (-1, 0, 0). (c) Find the linear approximation of f at (-1, 0). (d) Use the linear approximation of f to approximate f (-0.95, 0.01) and compare this to the true value of f (-0.95, 0.01).
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Graphical Analysis Of Multi-Response Data
Authors: Kaye Enid Basford, John Wilder Tukey
1st Edition
100072302X, 9781000723021
