Explain why the function is differentiable at the given point.f(x, y) = 7 + x In(xy - 7), (4,2)The partial derivatives are f(x, y) =functions for xy > 7xyxy-and f is differentiable at (4, 2).X+ In (xy-7)Find the linearization L(x, y) of f(x, y) at (4, 2).L(x, y) = 16x + 9y - 74and f(x, y) =xy - 7,sof (4, 2) = 8and f,(4,2)== 16.Both fx and fare continuous

Answered: Image /qna-images/answer/a5dbe3d1-6b68-46a8-a62c-ee1457889d86.jpg

Explain why the function is differentiable at the given point. f(x, y) = 7+ x In(xy-7), (4,2) The partial derivatives are f(x, y) = functions for xy > 7 xy + In (xy-7) xy-7 ✔and f is differentiable at (4, 2). Find the linearization L(x, y) of f(x, y) at (4, 2). L(x, y) = 16x +9y-74 X and f (x, y) = xy-7 ,sof (4,2)=8 ✔and f,(4, 2) = 16 ✓ .Both fx and fare continuous

Explain why the function is differentiable at the given point. f(x, y) = 7+ x In(xy-7), (4,2) The partial derivatives are f(x, y) = functions for xy > 7 xy + In (xy-7) xy-7 ✔and f is differentiable at (4, 2). Find the linearization L(x, y) of f(x, y) at (4, 2). L(x, y) = 16x +9y-74 X and f (x, y) = xy-7 ,sof (4,2)=8 ✔and f,(4, 2) = 16 ✓ .Both fx and fare continuous

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

Section9.3: Maxima And Minima

Problem 2E

See similar textbooks