Question

I'm in H.S. Calculus & need help. How would you solve for dy/dx using implicit differentiation (with the given points) within the equation:
((X)^1/2)+((y)^1/2)=(2y^2); (1,1)

Answer 1

\[\huge \frac{1}{2\sqrt{x}}+\frac{y'}{2\sqrt{y}}=4yy'\] is a start

Answer 2

@Kathy164 will explain why this is the correct first step

Answer 3

lol damn putting me on the spot like that

Answer 4

that's ok looks like @juanlopez7 left anyways

Answer 5

the derivative of \[\sqrt{x}=\frac{ 1 }{ 2\sqrt{x} }\], then you take the derivative of y with respect to x

Answer 6

so would you subtract \[1/(2\sqrt{y})\] to get the ys alone?

Answer 7

yea