The equation for a plane tangent to z = f(x, y) at a point (xo, Yo) is given by z = f(xo, Yo) + f_(wo, Yo)(x – æo) + fy(x0; Y0)(y – yo) If we wanted to find an equation for the plane tangent to f(x, y) = 9xy – 3y + 5a? at the point (3, – 3), we'd start by calculating these: f(ro, Yo) = | fz(xo, Yo) = fy(xo, Yo) =
The equation for a plane tangent to z = f(x, y) at a point (xo, Yo) is given by z = f(xo, Yo) + f_(wo, Yo)(x – æo) + fy(x0; Y0)(y – yo) If we wanted to find an equation for the plane tangent to f(x, y) = 9xy – 3y + 5a? at the point (3, – 3), we'd start by calculating these: f(ro, Yo) = | fz(xo, Yo) = fy(xo, Yo) =
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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
Transcribed Image Text:The equation for a plane tangent to z = f(x, y) at a point (xo, Yo) is given by
z = f(xo, Yo) + f_(wo, Yo)(x – æo) + fy(x0; Y0)(y – yo)
If we wanted to find an equation for the plane tangent to f(x, y) = 9xy – 3y + 5a? at the point
(3, – 3), we'd start by calculating these:
f(ro, Yo) = |
fz(xo, Yo) =
fy(xo, Yo) =
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