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3. Given x(r,0) = r cos e and y(r,@) =r sin@ then use the chain rule to write (r cos 0, r sin@). 4. The maximum directional derivative of a function is given by the magnitude of the gradient vector. Then the maximum directional derivative of the function f(x, y) = x In y + x*y* at point (-1, 1) is given by A. -21 +j в. 15(-21+ ) с. 1 D. 5 E. 15

3. Given x(r,0) = r cos e and y(r,@) =r sin@ then use the chain rule to write (r cos 0, r sin@). 4. The maximum directional derivative of a function is given by the magnitude of the gradient vector. Then the maximum directional derivative of the function f(x, y) = x In y + x*y* at point (-1, 1) is given by A. -21 +j в. 15(-21+ ) с. 1 D. 5 E. 15

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
Problem 77E
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19:42 4G 3. Given x(r,0) =r cos e and y(r,0) =r sin e then use the chain rule to write f(r cos e, r sin e). The maximum directional derivative of a function is given by the magnitude of the gradient vector. Then the maximum directional derivative of the function f(x, y) = x In y + x²y² at point (-1, 1) is given by A. -21 +j В. 15(-21 + j) С. 1 D. Е. 15 Add a caption... > Status (Custom) +
Transcribed Image Text:19:42 4G 3. Given x(r,0) =r cos e and y(r,0) =r sin e then use the chain rule to write f(r cos e, r sin e). The maximum directional derivative of a function is given by the magnitude of the gradient vector. Then the maximum directional derivative of the function f(x, y) = x In y + x²y² at point (-1, 1) is given by A. -21 +j В. 15(-21 + j) С. 1 D. Е. 15 Add a caption... > Status (Custom) +
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