show rules used and all working, for full points! !
2007-10-31 15:37:16 · 5 answers · asked by Josianne 3 in Science & Mathematics ➔ Mathematics
Is it supposed to be:
F(x)=(x^2 - x + 1)^3?
If so....
F'(x)=3(x^2 - x + 1)^2(2x - 1)
F'(x)=3(2x-1)(x^2 - x + 1)^2
It's just power rule and chain rule.
2007-10-31 15:42:59 · answer #1 · answered by tkquestion 7 · 0⤊ 0⤋
F(x)= 0
(x^2 - x +1) ^ 3= 3(x^2 - x + 1)^2 * (2x -1)
I did derivative of outside first, then I did the derivative of the inside , and the final answer is
3(x^2 - x + 1)^2 * (2x -1)
2007-10-31 15:42:20 · answer #2 · answered by cheri1286 2 · 1⤊ 1⤋
-(x^2-x+1)^3+F x
-x^6+3 x^5-6 x^4+F x+7 x^3-6 x^2+3 x-1
2007-10-31 15:39:39 · answer #3 · answered by Anonymous · 1⤊ 1⤋
chain rule:
let u = x^2 - x + 1
then d/du = 3u^2
d/dx (x^2 - x + 1) = 2x - 1
F'(x) = 3 (x^2 - x + 1)^2 * (2x - 1)
2007-10-31 16:00:18 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Girl, you've lost me on this one :)
2007-10-31 15:39:43 · answer #5 · answered by Anonymous · 0⤊ 2⤋