Consider the following. T = e-4r cos(8) Find the first partial derivatives. r To || Trr Tre Ter Find all the second partial derivatives. -16e-4r. = -4e cos(8) = -4x -e sin (y) = -e -4e-4rs sin (0) X cos (8) -4xsin (y) X X

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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Consider the following.
T = e-4r cos(0)
Find the first partial derivatives.
-4e-4¹ cos (0)
T,
r
8
=
=
Tit
Tro
Ter
Find all the second partial derivatives.
-4x cos(8)
TAR
||
=
||
-4x
=
-e
sin (y)
-16e
X
-4e-4¹ sin (0)
-e-4xsin (y)
X
X
Transcribed Image Text:Consider the following. T = e-4r cos(0) Find the first partial derivatives. -4e-4¹ cos (0) T, r 8 = = Tit Tro Ter Find all the second partial derivatives. -4x cos(8) TAR || = || -4x = -e sin (y) -16e X -4e-4¹ sin (0) -e-4xsin (y) X X
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