Ln(2+sinx) how do u find the derivative

f(x) = cos(x) / (2+sin(x))

Step-by-step explanation:

You gotta use u-substitution. You probably only heard of u-sub from integration, but you can also use it on derivatives as well.

f(x) = ln(2+sin(x))

  I let u=2+sin(x)

So now my new equation is

f(u) = ln(u)

you already know the derivative of ln(u), it's 1/u, but you also gotta multiply it by u' because of the chain rule. So the new equation is

f'(u) = 1/u * u'

substitute your x-values back in to get your answer.

f(x) = cos(x) / (2+sin(x))

answer: 1inch=7days  

12inch=12*7=84days

step-by-step explanation: