Question

F(x)=(5x+6)sin(3x+2)
f'(x)..?

Answer 1

Anggap:
g(x) = 5x+6 sehingga g'(x) = 5
h(x) = sin(3x+2) sehingga, h'(x) = 3cos(3x+2)
Sehingga,
f ' (x) = g'(x)h(x) + g(x)h'(x)
= 5.sin(3x+2) + (5x+6).3cos(3x+2)
= 5sin(3x+2) + (15x+18)cos(3x+2)