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2) Consider the surface z = f(x, y) = xy - y?. a) Find the derivative of f at (1,2,-2) in the direction i + j. Show your work. b) Find the equation of the tangent plane to f at the point (1,2,-2), and use it to approximate the value of f(1.1, 1.95).

2) Consider the surface z = f(x, y) = xy - y?. a) Find the derivative of f at (1,2,-2) in the direction i + j. Show your work. b) Find the equation of the tangent plane to f at the point (1,2,-2), and use it to approximate the value of f(1.1, 1.95).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Please solve both part's correctly in 30 minutes
2) Consider the surface z = f(x, y) = xy – y?. a) Find the derivative of f at (1,2,-2) in the direction i + j. Show your work. b) Find the equation of the tangent plane to f at the point (1, 2,-2), and use it to approximate the value of f(1.1, 1.95).
Transcribed Image Text:2) Consider the surface z = f(x, y) = xy – y?. a) Find the derivative of f at (1,2,-2) in the direction i + j. Show your work. b) Find the equation of the tangent plane to f at the point (1, 2,-2), and use it to approximate the value of f(1.1, 1.95).
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