Find the Taylor series at
a = −4 for f(x) = x4 + 5x2 + 5.

Question

Find the Taylor series at 
a = −4 for f(x) = x4 + 5x2 + 5.

anonymous · Answer

It's an e^x... but yeah, I don't know where to go from here.

anonymous · Answer

I think you have to use this.
$$ \Large
\sum_{n=0}^\infty f^{(n)}(a)\frac{(x-a)^n}{n!}
$$Where $f^{(n)}(a) $ is the nth derivative evaluated at a.

anonymous · Answer

I tried that... it's only the first derivative if it asks it like it does?

anonymous · Answer

?  only the first derivative?

anonymous · Answer

You do keep doing the derivative until you have a pattern or get to 0

anonymous · Answer

$$
\begin{array}{l}
f^{(0)} = x^4+5x^2+5 \
f^{(1)} = 4x^3+2*5x \
f^{(2)} = 4*3x^2+2*5 \
f^{(3)} = 4*3*2x \
f^{(4)} = 4*3*2 \
f^{(5)} = 0 \
\end{array}
$$

anonymous · Answer

Not sure what you mean by it's an $\large e^x$.

anonymous · Answer

Nevermind, I am being retarded, I got it :) Thank you