dy/dx dari y= (1+3x^2) sin 10x

jawab


u = 1 + 3x²
u' = 6x

v = sin 10x
v' = 10 cos 10 x

y = uv 
y' = u'v  + uv'

y' = 6x. sin 10 x + (1 + 3x²)(10 cos 10 x)
y' = 6x sin 10x + (10 +30x²)(cos 10 x)