Let f(x y) = x2 + y4. Find the slope of the line tangent to this surface at the point (1, - 1) and lying in the a. plane x = 1 b. plane y = - 1. a. The slope of the line tangent to f(x,y) at (1,- 1) and lying in the plane x = 1 is (Simplify your answer.) b. The slope of the line tangent to f(x,y) at (1,- 1) and lying in the plane y = - 1 is (Simplify your answer.)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.6: The Three-dimensional Coordinate System
Problem 41E: Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?
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Let f(x,y) = x2 + y4 Find the slope of the line tangent to this surface at the point (1, - 1) and lying in the a. plane x=1 b. plane y = - 1.
a. The slope of the line tangent to f(x,y) at (1, - 1) and lying in the plane x= 1 is - 4
(Simplify your answer.)
b. The slope of the line tangent to f(x,y) at (1, - 1) and lying in the plane y = - 1 is
(Simplify your answer.)
Transcribed Image Text:Let f(x,y) = x2 + y4 Find the slope of the line tangent to this surface at the point (1, - 1) and lying in the a. plane x=1 b. plane y = - 1. a. The slope of the line tangent to f(x,y) at (1, - 1) and lying in the plane x= 1 is - 4 (Simplify your answer.) b. The slope of the line tangent to f(x,y) at (1, - 1) and lying in the plane y = - 1 is (Simplify your answer.)
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