Let f(z² + y², zy, z² - y²) be a differentiable function. What is the value of the second order partial derivative fy? O A 42²f11+ y²f2 +42²f3+ 4zyf12 +82²f13 + 4zyf23 +251 +2/3 OB. 4y2 fu+1²f22+4y²f33 + 4zyf12- 8y2f13-4ryf23 +2f1-2f3 OC 4y²fu+1²f₂ + 4y²f3+ 4zyf12- 8y2f13-4zyf23 +2f1 +2f2-2f3 OD. 2y2f1+z²f22 + 2y²f3+2ryf12- 4y²f13-2ryf +2f1-2f3 OE 2z²f11+ y²f₂₂ + 2x²ƒ33 + 2xyf12 +41²f13 + 2xyf23 +2f1 +2f3 4
Let f(z² + y², zy, z² - y²) be a differentiable function. What is the value of the second order partial derivative fy? O A 42²f11+ y²f2 +42²f3+ 4zyf12 +82²f13 + 4zyf23 +251 +2/3 OB. 4y2 fu+1²f22+4y²f33 + 4zyf12- 8y2f13-4ryf23 +2f1-2f3 OC 4y²fu+1²f₂ + 4y²f3+ 4zyf12- 8y2f13-4zyf23 +2f1 +2f2-2f3 OD. 2y2f1+z²f22 + 2y²f3+2ryf12- 4y²f13-2ryf +2f1-2f3 OE 2z²f11+ y²f₂₂ + 2x²ƒ33 + 2xyf12 +41²f13 + 2xyf23 +2f1 +2f3 4
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.2: Partial Derivatives
Problem 28E
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