anonymous
  • anonymous
s(x,y) = x^3 lny + 4y^2e^x find the indicated function Syy (x, y)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
I think it's [-X^3/y^(2)] +[8e^(x)]
anonymous
  • anonymous
Yes. it is, but how ? could you show me?
anonymous
  • anonymous
yeah but give me like 10 15 minutes i'm going to grab something to eat

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anonymous
  • anonymous
ok, well you understand that when taking a Sy x is held constant.
anonymous
  • anonymous
yes
anonymous
  • anonymous
okay cool then what's the derivative of lny?
anonymous
  • anonymous
1/y
anonymous
  • anonymous
?
anonymous
  • anonymous
x^3 is constant and that would stay on the top correct? next, What is the derivative of 4y^2
anonymous
  • anonymous
yes
anonymous
  • anonymous
8y
anonymous
  • anonymous
e^x is constant so, what is Sy?
anonymous
  • anonymous
8e^x
anonymous
  • anonymous
not exactly, the answers that we found previously will be Sy. What I mean by that it Sy :x^3/y +8ye^x. These are the answers you gave me. Do you see how it equals that? If not, we can approach it differently.
anonymous
  • anonymous
So Ssubyy = -x^3/y^2 + 8e^x?
anonymous
  • anonymous
remember "x" is constant so if you want plug in 7 for x just so you get use to the idea
anonymous
  • anonymous
sorry yea that's the answer
anonymous
  • anonymous
Yes.. why are you plugging in 7? I understand Sy = x^3/y + 8ye^x.. I think my question was to find Syy (x,y) =?
anonymous
  • anonymous
oh then you just do a second partial it's the same idea as doing a second derivative and the "7" thing is just case if haven't grasped the idea that the other variable is held constant.
anonymous
  • anonymous
Ic
anonymous
  • anonymous
Are you in Calc 3 or DE?
anonymous
  • anonymous
No.. just very basic business calc
anonymous
  • anonymous
cant imagine doing the regular calc :(
anonymous
  • anonymous
you have to do partials?
anonymous
  • anonymous
Yes.. now to find the local extreme for max and min in 3D
anonymous
  • anonymous
I have another one.. I just can't do figure out should I post it separate?
anonymous
  • anonymous
sure
anonymous
  • anonymous
I just fan you.. thanks for your help
anonymous
  • anonymous
I tried to post it.. but it got stuck f(x,y) = x/y = y/x find fxx, fxy, and fyy

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