Question

Find y' by implicit differentiation, cos(x) + √y = 7

Answer 1

So let's take the derivative of each side.
Derivative of 7 with respect to x?

Answer 2

\(\Large\bf \color{#008353}{\text{Welcome to OpenStudy! :)}}\)

Answer 3

sin(x\[\frac{ \sin(x) }{ \frac{ 1 }{ 2 }y ^{\frac{ -1 }{2 }} }\])

Answer 4

thats correct, and if you need derivative only in 'x'
use the original equation
\(\sqrt y = 7-\cos x \)