Question

find dy/dx when 3(square root of x) +2(square root of y)=5

What I did was

(1/2)(3)x^(-1/2) + y^(-1/2)*dy/dx=0

After solving for dy/dx and simplifying I got -3(square root of y)/2(square root of x)

However, the answers do not match up to this. Can someone help me?

1. dy/dx=(3/4)(5+3/(square root of x))
2.dy/dx=5-3/(square root of x)
3.dy/dx=(3/4)(3-5/(square root of x))
4.dy/dx=(3/2)(3-5/(square root of x))
5. dy/dx=(3/2)(5-3/(square root of x))
6.dy/dx=3+5/(square root of x))

Answer 1

\[
3\sqrt{x}+2\sqrt{y}=5
\]I'd first solve for \(y\) here.

Answer 2

Or solve for just \(\sqrt{y}\)

Answer 3

Notice how their answers only have \(x\) in them.

Answer 4

Then you plug in your \(\sqrt{y}\) result into your implicit differentiation equation.