Question

Please help!!!
If f(x)=(2x+1)^4, then the fourth derivative of f(x) at x=0 is...

Answer 1

what is the first derivative?

Answer 2

There is none that was given.

Answer 3

im sure there are some rules pertaining to taking a derivative that you can use to find it tho ....

Answer 4

Do i plug in the 0 to the original function, or to the fourth derivative? that's what I dont know.

Answer 5

you wait till the fourth; then use x=0 to find the value of f''''(0)

Answer 6

Thank you!

Answer 7

youre welcome; i can check your derivatives if need be

Answer 8

f = (2x+1)^4
f' = 4 (2x+1)^3 2
f'' = 4.3 (2x+1)^2 2.2
f''' = 4.3.2 (2x+1)^1 2.2.2
f'''' = 4.3.2.1 (2x+1)^0 2.2.2.2

x=0 gives

f'''' = 4.3.2.1.1.2.2.2.2