anonymous 5 years ago How do i use implicit differentiation to find f' of cos(x) + sqrt(y) = 5

1. anonymous

$d/dx[\cos(x)+\sqrt{y}]=5d/dx$ $-\sin(x)+1/2(y^{-1/2})dy/dx=0$ $1/2(y^{-1/2})dy/dx=\sin(x)$ $dy/dx=2\sqrt{y} \sin(x)$

2. anonymous

Ok thats what I thought, thank you!

3. anonymous

no problem