Question

Maclaurin series
(x+1)^4.
i got the derivatives but having troubling setting it up :/

Answer 1

i must be confused, because this is a polynomial.
if you expand about 0 you get just what you would get if you multiply out

Answer 2

this is how my professor want us to write

Answer 3

you can write
\[1+4x+6x^2+4x^3+x^4\] but there are no terms after that
a mclauren series for a polynomial is the polynomial itself

Answer 4

(x+1)^4 f(0)
f(0)=1^4
f'(0)=4(x+1)^3
f''(0)=4*3(x+1)^2
f'''(0)=4*3*2(x+1)
f''''(0)=4*3*2*1

Answer 5

oh now i understand *face palm* thank u XD

Answer 6

hold the phone

Answer 7

\(f'(x)=4(x+1)^3,f'(0)=4\)

Answer 8

oh ok glad you got it.
yw

Answer 9

XD