Question

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

Answer 1

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

Answer 2

Ok thats what I thought, thank you!

Answer 3

no problem