Find $f^{(n)}(x)$ for $f(x) = 5x^4-8x^3+6x^2-1$

Question

I'm a bit lost and how I would go about creating a general formula for differentiating this equation. Find $f^{(n)}(x)$ for $$f(x) = 5x^4-8x^3+6x^2-1.$$

Is it $f(x)\cdots f(x)$ or $(f\circ\ldots\circ f)(x)$ or $f^{(n)}(x)$? I guess that's the latter now that I see you mention differentiation. Denoting the $n$-th derivative $f^n$ is very confusing and uncommon, I think. — Julien, Apr 10 '13 at 03:26

score 1 · Answer 1 · answered Apr 10 '13 at 03:29

1

Just take a few derivatives and see the pattern. I guarantee you will be happy after the fifth/sixth derivative.

answered Apr 10 '13 at 03:29

Fixed Point

7,909
3
31
48

I can see the pattern that is forming, but I'm having trouble with how I should write down the general formula. – adeshina lawel Apr 10 '13 at 04:10
What I've gotten so far: – adeshina lawel Apr 10 '13 at 04:11
5(4-n)!x^(4-n) ect... something like that? – adeshina lawel Apr 10 '13 at 04:12
Did you get to the sixth derivative? – Fixed Point Apr 10 '13 at 04:13

Find $f^{(n)}(x)$ for $f(x) = 5x^4-8x^3+6x^2-1$

1 Answers1