anonymous
  • anonymous
Implicit differentiation, equation to follow
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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anonymous
  • anonymous
\[\sqrt{x}+\sqrt{y}=5\]
anonymous
  • anonymous
Would this just be \[x^1/2+y^1/2=\]
heisenberg
  • heisenberg
what are you attempting to derive?

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anonymous
  • anonymous
i am trying to find dy/dx of the above equation
heisenberg
  • heisenberg
it's been a while so i may be fuzzy, but the basic gist is: 1. Since we are doing dy/dx, treat all 'x's as constant and take the derivative. 2. When you derive a 'y' term, also include a dy/dx 3. solve for dy/dx
heisenberg
  • heisenberg
so i THINK: \[x^\frac{1}{2} + \frac{1}{2}*y^\frac{-1}{2}*\frac{dy}{dx} = 0\]
heisenberg
  • heisenberg
\[\frac{dy}{dx} = - 2 * \sqrt y * \sqrt x\]
anonymous
  • anonymous
Think you are mixing up you partial differentiation with your single variable calculus
anonymous
  • anonymous
In single variable cal, you differentiate the x also
anonymous
  • anonymous
so would the fourmula be\[x+dy/dx+y+dy/dx\]
heisenberg
  • heisenberg
i don't know that you have to use implicit differentiation to solve this actually. can't you just solve for y and then derive?
anonymous
  • anonymous
start from the top. Differentiate each item; the y item you write in dy/dx next to it. Solve for dy/dx. There is no formula per se zbay. You differentiate and then solve for dy/dx
anonymous
  • anonymous
ok thanks let me attempt to work it out

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