Compute the following derivatives \frac{d}{dx}[\frac{\sin x}{1+\cos x}]

Tobias Ali 2021-05-21 Answered
Compute the following derivatives
ddx[sinx1+cosx]
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Expert Answer

Isma Jimenez
Answered 2021-05-22 Author has 84 answers
Step 1
To find the derivatives
Step 2
(ddx)(sinx1+cosx)
Differentiating with respect to x then
y(1+cosx)×cosxsinx(sinx)(1+cosx)2
Since, used quotient rule
(uv)=vuuvv2
y=cosx+cos2x+sin2x(1+cosx)2
Since, sin2x+cos2x=1 so,
y=1+cosx(1+cosx)2
y=(1+cosx)12
Since, xaxb=xab
y=(1+cosx)1
y=11+cosx
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