1. ## 4th derivative

If f(x) = (2+3x)^4, then find the 4th derivative of f(x).

A. 0
B. 4!(3)
C. 4!(3^4)
D. 4!(3^5)
E. 4!(2+3x)

2. Originally Posted by DINOCALC09
If f(x) = (2+3x)^4, then find the 4th derivative of f(x).

A. 0
B. 4!(3)
C. 4!(3^4)
D. 4!(3^5)
E. 4!(2+3x)
C.

think about it, why is that? (you don't have to actually find the fourth derivative explicitly, you can think through it)

3. there are 4 powers so that wil cross out making it 0 which is letter A? correct?

4. Originally Posted by DINOCALC09
there are 4 powers so that wil cross out making it 0 which is letter A? correct?
no, i told you the answer is C.

5. f(x) = (2+3x)^4

is it something to do with losing the x making it 3^4??

i dont know

6. Originally Posted by DINOCALC09
If f(x) = (2+3x)^4, then find the 4th derivative of f(x).

A. 0
B. 4!(3)
C. 4!(3^4)
D. 4!(3^5)
E. 4!(2+3x)
$\displaystyle f'(x)=4\cdot3(2+3x)^3.$

So we'll have $\displaystyle 4!$ on the final expression and by the chain rule, $\displaystyle 3^4,$ can you see that?