Compute the following quantities. Make sure to show your computations and write which differentiation rules you are using. No need to simplify for Q1 and Q2. af Se and ду 1. For f(x, y) = (2r + 3y)"", compute

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Chapter1: Functions And Models
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Exercise III: Partial derivatives I
Compute the following quantities. Make sure to show your computations and write which
differentiation rules you are using. No need to simplify for Q1 and Q2.
1. For f(x, y) = (2r + 3y)³*, compute
se
se
and
dy
2. For
u + w²
f(u, v, w)
compute fu, fu, fw-
3. For f(x, y) =r In(3.r + 2y), compute g(x, y) = fz and h(r, y) = fy. Then compute
and hz, and simplify as much as possible. What do you notice?
%3D
Iy
Transcribed Image Text:Exercise III: Partial derivatives I Compute the following quantities. Make sure to show your computations and write which differentiation rules you are using. No need to simplify for Q1 and Q2. 1. For f(x, y) = (2r + 3y)³*, compute se se and dy 2. For u + w² f(u, v, w) compute fu, fu, fw- 3. For f(x, y) =r In(3.r + 2y), compute g(x, y) = fz and h(r, y) = fy. Then compute and hz, and simplify as much as possible. What do you notice? %3D Iy
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