derivitive problem?

Question

whats the derivitive of 3xsin(x)-2x ?

Answer 1

first, realize, you can split it up and do 3xsin(x) and then -2x

for the first, use the product rule, [f(x)*g(x)]' = f'(x)*g(x)+f(x)*g'(x).

realize:

(3x)' = 3
[sin(x)]' = cos(x)
[-2x]' = -2

then just plug in:

3sin(x)+3xcos(x)-2

Answer 2

3xcos(x) + 3sin(x) - 2

Answer 3

3xcos(x)+3sin(x)-2