Question

What is the derivative of sin x /(1+sin x) ?

Answer 1

d/dx uv=(u'v-uv')/v^2

u=sin x
v=1+sin x

Answer 2

u'=cos x
v'=cos x

Answer 3

Where I'm confused is what am i supposed to do with [(1+sin x)(cos x) - (sin x)(cos x)] in the numerator?

Answer 4

expand it, and simplify the entire solution.

Answer 5

That was my first question

Answer 6

[(1+sin x)(cos x) - (sin x)(cos x)]=(cos x+sin x cos x-sin x cos x)=(cos x)

Answer 7

Sorry I saw it just now, duh. Thanks

Answer 8

np. make sure you put in the denom!

Answer 9

step by step answers posted here

http://www.mathskey.com/question2answer/2061/what-is-the-derivative-of-sin-x-1-sin-x

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