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 on the domain -2≤x≤2, -34 y 23 Plot f on the domain -24x²2,-34y 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 last 2 parts d and e. Kindly correctly and handwritten
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
Plot f on the domain -2<x<2, -327 23
Relate
your results from the previous part
to the plot.
Transcribed Image Text: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 Plot f on the domain -2<x<2, -327 23 Relate your results from the previous part to the plot.
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