Question

Help plisss turunan fungsi

Answer 1

Misal u= sin x               v= 1+cos x
         u'= cos x             v'= -sin x
f(x) = u/v
f'(x) = (v.u' - u.v')/v²
f'(x) = ((1+cos x)(cos x) - (sin x )(-sin x))/(1+cos x)²
       = (cos x+cos² x+sin² x)/(1+cos x)²
       = (cos x+1)/(1+cos x)²
       = 1/(cos x+1)
f'(π/4) = 2/(√2+2)
           = 2-√2........opsi B