anonymous 5 years ago Implicit differentiation, equation to follow

1. anonymous

$\sqrt{x}+\sqrt{y}=5$

2. anonymous

Would this just be $x^1/2+y^1/2=$

3. heisenberg

what are you attempting to derive?

4. anonymous

i am trying to find dy/dx of the above equation

5. 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

6. heisenberg

so i THINK: $x^\frac{1}{2} + \frac{1}{2}*y^\frac{-1}{2}*\frac{dy}{dx} = 0$

7. heisenberg

$\frac{dy}{dx} = - 2 * \sqrt y * \sqrt x$

8. anonymous

Think you are mixing up you partial differentiation with your single variable calculus

9. anonymous

In single variable cal, you differentiate the x also

10. anonymous

so would the fourmula be$x+dy/dx+y+dy/dx$

11. 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?

12. 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

13. anonymous

ok thanks let me attempt to work it out