Don't Stop Believin'的歌詞如下：
歌曲原唱：Glenn Frey
填詞：Glenn Frey
譜曲：Glenn Frey
歌詞全文：
Yo yo yo
Ooh ooh ooh ooh
Just a small town girl
Living in a big city world
Trying to make it happen
Trying to make it a better day
Trying to find a way
To be where she belongs
And she won't stop believing
In tomorrow
Ooh ooh ooh ooh
Oh oh oh oh
Oh oh oh oh
Oh oh oh oh
Oh oh oh oh
Oh oh oh oh
Oh oh oh oh
Oh oh oh
Just a dreamer boy
Living in a world of illusion
Trying to make it real
Trying to make it last forever
Trying to find a way
To be where he belongs
And he won't stop believing
In tomorrow
Oh oh oh oh
Oh oh oh oh
He won't stop, he won't stop
Won't stop, won't stop, no no no no
He won't stop, he won't stop believing
Won't stop, won't stop, no no no no
Don't stop believing
Baby, don't stop dreaming now, come on now!
Baby, keep the light on now! Yeah! Yeah!
You gotta believe, yeah yeah yeah! Yeah! Yeah!
In tomorrow! Yeah! Yeah! Yeah! Yeah! Yeah!
(repeat chorus) Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh Oh!
(bridge) Now don't be afraid of the dark, yeah yeah!
'Cause tomorrow will take you where you want to go, yeah yeah!
You gotta believe in yourself, yeah yeah! Yeah! Yeah!
And you'll find your way, yeah yeah! Yeah! Yeah! Yeah! Yeah! Yeah!
(repeat chorus) Ooh ooh ooh ooh! Ooh ooh ooh ooh! Ooh ooh ooh ooh! Ooh ooh ooh ooh! Ooh ooh ooh! Ooh ooh! Ooh Oo Oo Ohhh Ooohh Ohhh Heyyy Heyyyy Heyyyyyyyy Heyyyyyyyyyy Heyyyyyyyyyy Heyyyyyyyyyy Heyyyyyyyy Heyyy Heyyyy Heyyyyyyyyyyyy Heyyyyyyyyyyy Heyyyyyyyyyy (don't stop) Ooohoohoo! Heyyy Heyyyy (stop dreaming) Heyyyyyyyyyy (baby) (repeat chorus) Ohhh (baby) Baby keep the light on now Baby (won't stop believing) Heyyyyyy hey! Keep the light on keep on keep on (don't stop) Baby keep the light on now (in tomorrow) Keep the light on keep on keep on Keep the light on now Baby don't stop Baby don't stop (don't stop) Baby don't stop (don't stop dreaming) Baby don't stop now Keep the light on now Baby don't stop now Keep the light on now Baby don't stop now Keep the light on now Baby don't stop now Keep the light on now Baby don't stop Baby don't stop已知函式f(x) = x^3 - 3x^2 + 1，求下列函式的導數： （1）f'(2)， （2）求f''(x)並求$f^{n}(x)(n \in N)$的表達式．並驗證結果．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．．（請把結果化簡到最簡）謝謝！要過程，要詳細過程，麻煩了！
【分析】
根據導數的運算法則求出函式的導數即可；再根據複合函式的導數法則求出即可，要注意到$\sin x，x\cos x$，利用積的導數運算法則以及三角函式恆等式求解即可得結果. 熟練掌握導數的運算法則及三角函式恆等變換是解題的關鍵，求函式的導數時，一般先將函式進行化簡，再根據導數的運算法則求出函式的導數即可.
【解答】
（$1$）$f^{\prime}(x) = 3x^{2} - 6x$，所以$f^{\prime}(2) = 12 - 12 = 0$； （$2$）$f^{\prime\