(2x-y²)² (x,y) + (0,0) Let f(x,y) = x²+y4 2, (x, y) = (0,0) Find the slope of the tangent line to the trace of z = f(x, y) on the yz-plane at the point (0,0,2), if such tangent line exists.

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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Find the slope of the tangent line to the trace z = f(x,y).

((2x-y²)²
Let f(x, y) ={ x2+y4
(x, y) + (0,0)
2,
(x, y) = (0,0)
Find the slope of the tangent line to the trace of z = f (x, y)
on the yz-plane at the point (0,0,2), if such tangent line exists.
Transcribed Image Text:((2x-y²)² Let f(x, y) ={ x2+y4 (x, y) + (0,0) 2, (x, y) = (0,0) Find the slope of the tangent line to the trace of z = f (x, y) on the yz-plane at the point (0,0,2), if such tangent line exists.
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