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Find the directional derivative of f(x, y) = x²y³ + 2x¹y at the point (4, 4) in the direction 0 = 2π/3. The gradient of fƒ is: Vƒ = (2xy³ + 8x³y Vƒ(4,4)= (2560 The directional derivative is: 1280+640sqrt(3) 3x²y² + 2x4 1280 )

Find the directional derivative of f(x, y) = x²y³ + 2x¹y at the point (4, 4) in the direction 0 = 2π/3. The gradient of fƒ is: Vƒ = (2xy³ + 8x³y Vƒ(4,4)= (2560 The directional derivative is: 1280+640sqrt(3) 3x²y² + 2x4 1280 )

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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You have answered 4 out of 5 parts correctly. 3 attempts remaining. Find the directional derivative of ƒ(x, y) = x²y³ + 2x¹y at the point (4, 4) in the direction 0 = 27/3. The gradient of f is: Vƒ = ( 2xy³ + 8x³y Vƒ(4,4)= (2560 The directional derivative is: 1280+640sqrt(3) ·3x²₁²+2x4 1280
Transcribed Image Text:You have answered 4 out of 5 parts correctly. 3 attempts remaining. Find the directional derivative of ƒ(x, y) = x²y³ + 2x¹y at the point (4, 4) in the direction 0 = 27/3. The gradient of f is: Vƒ = ( 2xy³ + 8x³y Vƒ(4,4)= (2560 The directional derivative is: 1280+640sqrt(3) ·3x²₁²+2x4 1280
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