Let f(x,y) = x²-3x 1+x²y² a) Find the first and second partial derivatives. of f by hand. b) Find the tangent plane to f at (2,3). Use this plane to approximate the value of + (2.1, 2.95). How accurate is this approximation? c) Find and classify the critical points of f. D) Find the local and global extrema of f the domain -2≤x≤2, 34y 23 on c) Plot f on the domain -25ײ2, -327 23 Relate your results from the previous part. to the plot.
Let f(x,y) = x²-3x 1+x²y² a) Find the first and second partial derivatives. of f by hand. b) Find the tangent plane to f at (2,3). Use this plane to approximate the value of + (2.1, 2.95). How accurate is this approximation? c) Find and classify the critical points of f. D) Find the local and global extrema of f the domain -2≤x≤2, 34y 23 on c) Plot f on the domain -25ײ2, -327 23 Relate your results from the previous part. to the plot.
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 4CR
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I just want first 3 parts please do it correctly and handwritten
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