Implicit differentiation, equation to follow

Question

anonymous · Answer

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

anonymous · Answer

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

heisenberg · Answer

what are you attempting to derive?

anonymous · Answer

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

heisenberg · Answer

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 · Answer

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

heisenberg · Answer

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

anonymous · Answer

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

anonymous · Answer

In single variable cal, you differentiate the x also

anonymous · Answer

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

heisenberg · Answer

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 · Answer

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 · Answer

ok thanks let me attempt to work it out