Tentukan turunan pertama y=sin x/1+sin x

By Admin ReiPosted on December 10, 2022

Tentukan turunan pertama y=sin x/1+sin x

$y=frac{sin x}{1+sin x}$

u = sin x ⇒ u' = cos x

v = 1+ sin x ⇒ v' = cos x

$y'=frac{u'v-uv'}{v^{2}}=frac{cosx(1+sinx)-sinx.cosx}{(1+sinx)^{2}}=frac{cosx+cosxsinx-sinxcosx}{(1+sinx)^{2}}=frac{cosx}{(1+sinx)^{2}}$