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Find the directional derivative of f(x, y) = x²y³ + 2x¹y at the point (-3, -1) in the direction = = 2π/3. The gradient of f is: Vf=( Vf(-3,-1) = ( The directional derivative is: >

Find the directional derivative of f(x, y) = x²y³ + 2x¹y at the point (-3, -1) in the direction = = 2π/3. The gradient of f is: Vf=( Vf(-3,-1) = ( The directional derivative is: >

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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Find the directional derivative of f(x, y) = x²y³ + 2x¹y at the point (-3, -1) in the direction 0 = 2π/3. The gradient of f is: Vf=( Vf(-3,-1) = ( The directional derivative is: JI → FI ) >
Transcribed Image Text:Find the directional derivative of f(x, y) = x²y³ + 2x¹y at the point (-3, -1) in the direction 0 = 2π/3. The gradient of f is: Vf=( Vf(-3,-1) = ( The directional derivative is: JI → FI ) >
Consider the function f(x, y, z) = xy + yz² + xz³. Find the gradient of f: 9 Find the gradient of f at the point (-2, 1, −5). point (-2, 1,-5) in the direction u = (-1/√6, −1/√6, -2/√√6). FI - > ) Find the rate of change of the function f at the
Transcribed Image Text:Consider the function f(x, y, z) = xy + yz² + xz³. Find the gradient of f: 9 Find the gradient of f at the point (-2, 1, −5). point (-2, 1,-5) in the direction u = (-1/√6, −1/√6, -2/√√6). FI - > ) Find the rate of change of the function f at the
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