Question

y=√cos x +1

Найдите производную функции .

Answer 1

$1); ; y=sqrt{cosx+1}\\star ; ; (sqrt{u})'=frac{1}{2sqrt{u}}cdot u'; ,; ; u=cosx+1; star \\y'=frac{1}{2sqrt{cosx+1}}cdot (cosx+1)'=frac{1}{2sqrt{cosx+1}}cdot (-sinx+0)=-frac{sinx}{2sqrt{cosx+1}}\\\2); ; y=sqrt{cosx}+1\\y'=frac{1}{2sqrt{cosx}}cdot (cosx)'+1'=frac{1}{2sqrt{cosx}}cdot (-sinx)+0=-frac{sinx}{2sqrt{cosx}}$