II. Consider the function g defined by 1 g(1, y) = cos (7I)+ log3(x – y) Do as indicated. 1. Determine dydx 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v (1, 2). 3. In what direction does g have the maximum directional derivative at (z, y) = (4, 1)? What is the maximum directional derivative?

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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II. Consider the function g defined by
1
g(r, y) = cos (TI /+
log3(x- y)
Do as indicated.
1. Determine
2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction
of the vector v (1,2).
3. In what direction does g have the maximum directional derivative at (r, y) = (4, 1)?
What is the maximum directional derivative?
Transcribed Image Text:II. Consider the function g defined by 1 g(r, y) = cos (TI /+ log3(x- y) Do as indicated. 1. Determine 2. Calculate the instantaneous rate of change of g at the point (4, 1, 2) in the direction of the vector v (1,2). 3. In what direction does g have the maximum directional derivative at (r, y) = (4, 1)? What is the maximum directional derivative?
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