turunan dari y = xsinx + 2xcosx

jawab

y   = x sin x + 2x cos x

u  = x sin x
u' = 1(sin x) + x(cos x)
u' = sin x + x . cos x

v  = 2x  cos x
v' = 2( cos x) + 2x(-sin x)
v' = 2 cos x - 2x sin x

y = u + v
y;' = u' + v'
y' = sin x+ x cos x + 2 cos x - 2x sin x
y' = (1 - 2x) sin x + (x + 2) cos x