Question

Hasil diferensial dari T(x) = (sinx+1).(sinx-2)

Answer 1

T(x)= u(x) . v(x)
T'(x)= u'v + uv'
u= sin x +1 --> u' = cos x
v = sin x - 1--> v' = cos x

T'(x)= cos x (sinx +1) + cos x (sin x + 2)
T'(x)= sin x cos x + cosx + sinx cos x + 2 cosx
T'(x)= 2 sin x cos x + 3 cos x
T'(x)= sin 2x + 3 cos x