Question

Please help.
find y' if y=(sinx)/(6+sinx)

Answer 1

Hello

Answer 2

\[y=\frac{ \sin x }{ 6+\sin x }=\frac{ 6+\sin x }{ 6+\sin x }-\frac{ 6 }{ 6+\sin x }=1-\frac{ 6 }{ 6+\sin x }\]

Answer 3

right?

Answer 4

so you did this to get the same denominator?

Answer 5

No

Answer 6

I did this to get rid of the sinx from the numerator.

Answer 7

oh that makes sense. thank you

Answer 8

Now, the differentiation gets much easier.

Answer 9

\[y=1-\frac{ 6 }{ 6+\sin x }\]

Answer 10

Can you try differentiating this?