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Question 2. Consider the function of 2 variables f(x,y) = xexy. (a) (b) Find the partial derivatives fx, fy of this function. Check that fxy = fyx for this function. (c) (x, y) = (1, In 2)? What is the equation of the tangent plane to the graph of this function at

Question 2. Consider the function of 2 variables f(x,y) = xexy. (a) (b) Find the partial derivatives fx, fy of this function. Check that fxy = fyx for this function. (c) (x, y) = (1, In 2)? What is the equation of the tangent plane to the graph of this function at

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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Q2 continued (d) Find the directional derivative Duf(1, ln 2), where u = d dt (2,1), use the relevant Chain Rule to find (f(r(t)) as a function of t. (Don't use any other method, other than to check your answer.) Given the vector-valued function r(t) 4 (3-3 5 5 =
Transcribed Image Text:Q2 continued (d) Find the directional derivative Duf(1, ln 2), where u = d dt (2,1), use the relevant Chain Rule to find (f(r(t)) as a function of t. (Don't use any other method, other than to check your answer.) Given the vector-valued function r(t) 4 (3-3 5 5 =
Question 2. Consider the function of 2 variables f(x,y) = xexy. (a) (b) Find the partial derivatives fx, fy of this function. Check that fxy = fyx for this function. (c) (x, y) = (1, In 2)? What is the equation of the tangent plane to the graph of this function at
Transcribed Image Text:Question 2. Consider the function of 2 variables f(x,y) = xexy. (a) (b) Find the partial derivatives fx, fy of this function. Check that fxy = fyx for this function. (c) (x, y) = (1, In 2)? What is the equation of the tangent plane to the graph of this function at
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