Calculus/calculus

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Question
I am having trouble getting the right answers.  Can you show me the steps. Given this problem:
V=xyz= xy(12-xy)/2x+2y    Compute the partial derivatives with respect to x and then y

Given problem #2f(x,y,z) = 8x-4z; x2+10y^2+ z^2=5
find the maximum and the minimum.  Thank you for your help

Answer
Hello Megs,

V=xy(12-xy)/2x+2y ???  Is that correct?  If so, then the two
x's divide each other to simplify the expression:
V=y(12-xy)/2+2y ... yes?

If that is not correct, then please use parentheses where needed.
For example, if the "2x+2y" is the denominator, then it should
have parentheses around it...is it supposed to be
V=xy(12-xy)/(2x+2y)???

TTYL, Abe

Calculus

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Abe Mantell

Expertise

Hello, I am a college professor of mathematics and regularly teach all levels from elementary mathematics through differential equations, and would be happy to assist anyone with such questions!

Experience

Over 15 years teaching at the college level.

Organizations
NCTM, NYSMATYC, AMATYC, MAA, NYSUT, AFT.

Education/Credentials
B.S. in Mathematics from Rensselaer Polytechnic Institute
M.S. (and A.B.D.) in Applied Mathematics from SUNY @ Stony Brook

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