Question

Kerjakan turunan fungsi trigonometri
Tentukan dy / dx dari .....

Answer 1

Verified answer

Turuan Trigonometri

f(x)  = y =  cos x / (1 + sin x)

u = cos x  , u' = -sin x

v = 1 + sin x , v' = cos x

y = u/v  , y' = (u'v - uv')/v^2

f'(x)  = { -sin x (1 + sin x) -  cos x (cos x)} /(1 + sin x)²

f'(π/2)= f'(90°)

f'(π/2) =  { -sin 90 (1 + sin 90) - cos 90 (cos 90) } / (1 + sin 90)²

f' (π/2) = { -1 (1 + 1) -  0} / (1 + 1)²

f '(π/2) =  ( - 2 )/ (4) = - 1/2