anonymous
  • anonymous
find partial derivative Hx and Hy of H(x,y)=(y^2+1)e^x
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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cruffo
  • cruffo
can you explain how you find the partial derivative with respect to x? Short sentance...
anonymous
  • anonymous
you basically do derivative just with respect to x and treating y as a constant
zepdrix
  • zepdrix
So Mproof, Hmm If you take partials, you'll be treating the OTHER variable as a constant, meaning you won't have the product rule as it might seem at first glance. Does that help? :O

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anonymous
  • anonymous
like 3x^2y+2 fx=6xy and Fy is 3x^2
cruffo
  • cruffo
right. So what is confusing you about this problem?
anonymous
  • anonymous
would Hx be 0?
cruffo
  • cruffo
no. What is the regular derivative of f(x) = e^x?
anonymous
  • anonymous
same
zepdrix
  • zepdrix
Think of the equation as Ce^x when taking the partial WRT x. Maybe that will help :)
anonymous
  • anonymous
but don't you have to take a derivative of the (y^2+1) with respect to x?
zepdrix
  • zepdrix
no, thats just a constant attached to e^x :d
zepdrix
  • zepdrix
Maybe one thing you can do to convince yourself is, distribute the e^x to each term in the brackets. Then think about what you have :o
anonymous
  • anonymous
so the derivative with respect to x will be the same as the given problem
zepdrix
  • zepdrix
ya :) good
anonymous
  • anonymous
ooo I get it
anonymous
  • anonymous
with respect to Y would it be 2ye^x?
zepdrix
  • zepdrix
(y^2 + 1)e^x = y^2 e^x + e^x Hy = 2y e^x + 0 Yes, very good ^^

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