6. (a) Let f(x, y) = x³y*. Find the directional derivative of f in the direction of T = (3, 4) at the point (2, 2) (b) Evaluate |Vf(2,2)|. Which number is larger; your answer from part (a) or your answer from part (b)? Why?

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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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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6. (a) Let f(x, y) = x³y*. Find the directional derivative of f in the direction of
T = (3, 4) at the point (2, 2)
(b) Evaluate |Vf(2,2)|. Which number is larger; your answer from part (a) or
your answer from part (b)? Why?
Transcribed Image Text:6. (a) Let f(x, y) = x³y*. Find the directional derivative of f in the direction of T = (3, 4) at the point (2, 2) (b) Evaluate |Vf(2,2)|. Which number is larger; your answer from part (a) or your answer from part (b)? Why?
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