finding $f''(x)$ and $f'''(x)$ of problem [closed]

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Below is a problem I am trying to solve. I know how to do 2nd and third derivatives, but I have no idea how to solve this or even how to type it into wolfram alpha to get a better idea. Any help would be nice.

$$f(x) = x^n + a_n-1x^n-1+ dots + a_2 x^2 + a_1 x + a_0$$

calculus

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edited Jul 20 at 1:07

BDN

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asked Jul 20 at 0:08

Isaac Brekke

11

closed as off-topic by amWhy, Rory Daulton, Xander Henderson, Adrian Keister, max_zorn Jul 20 at 2:09

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Rory Daulton, Xander Henderson, max_zorn

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  You say you know how to second and third derivatives. Then, given that all the $a$s are constants, what are the derivatives of $x^n$? Of $a_n-1x^n-1$? What are the derivatives of their sums? And so on. What exactly about this is hard for you?
  – Rory Daulton
  Jul 20 at 0:14
  
  

  
  
  
  

add a comment | 

up vote
-2
down vote

favorite

Below is a problem I am trying to solve. I know how to do 2nd and third derivatives, but I have no idea how to solve this or even how to type it into wolfram alpha to get a better idea. Any help would be nice.

$$f(x) = x^n + a_n-1x^n-1+ dots + a_2 x^2 + a_1 x + a_0$$

calculus

share|cite|improve this question

edited Jul 20 at 1:07

BDN

573417

asked Jul 20 at 0:08

Isaac Brekke

11

closed as off-topic by amWhy, Rory Daulton, Xander Henderson, Adrian Keister, max_zorn Jul 20 at 2:09

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Rory Daulton, Xander Henderson, max_zorn

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  You say you know how to second and third derivatives. Then, given that all the $a$s are constants, what are the derivatives of $x^n$? Of $a_n-1x^n-1$? What are the derivatives of their sums? And so on. What exactly about this is hard for you?
  – Rory Daulton
  Jul 20 at 0:14
  
  

  
  
  
  

add a comment | 

up vote
-2
down vote

favorite

up vote
-2
down vote

favorite

Below is a problem I am trying to solve. I know how to do 2nd and third derivatives, but I have no idea how to solve this or even how to type it into wolfram alpha to get a better idea. Any help would be nice.

$$f(x) = x^n + a_n-1x^n-1+ dots + a_2 x^2 + a_1 x + a_0$$

calculus

share|cite|improve this question

edited Jul 20 at 1:07

BDN

573417

asked Jul 20 at 0:08

Isaac Brekke

11

Below is a problem I am trying to solve. I know how to do 2nd and third derivatives, but I have no idea how to solve this or even how to type it into wolfram alpha to get a better idea. Any help would be nice.

$$f(x) = x^n + a_n-1x^n-1+ dots + a_2 x^2 + a_1 x + a_0$$

calculus

share|cite|improve this question

edited Jul 20 at 1:07

BDN

573417

asked Jul 20 at 0:08

Isaac Brekke

11

share|cite|improve this question

share|cite|improve this question

edited Jul 20 at 1:07

BDN

573417

edited Jul 20 at 1:07

BDN

573417

edited Jul 20 at 1:07

BDN

573417

573417

asked Jul 20 at 0:08

Isaac Brekke

11

asked Jul 20 at 0:08

Isaac Brekke

11

asked Jul 20 at 0:08

Isaac Brekke

11

11

closed as off-topic by amWhy, Rory Daulton, Xander Henderson, Adrian Keister, max_zorn Jul 20 at 2:09

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Rory Daulton, Xander Henderson, max_zorn

If this question can be reworded to fit the rules in the help center, please edit the question.

closed as off-topic by amWhy, Rory Daulton, Xander Henderson, Adrian Keister, max_zorn Jul 20 at 2:09

This question appears to be off-topic. The users who voted to close gave this specific reason:

• "This question is missing context or other details: Please improve the question by providing additional context, which ideally includes your thoughts on the problem and any attempts you have made to solve it. This information helps others identify where you have difficulties and helps them write answers appropriate to your experience level." – amWhy, Rory Daulton, Xander Henderson, max_zorn

If this question can be reworded to fit the rules in the help center, please edit the question.

• 
  
  
  

  
  

  
  
  
  
  
  

  
  You say you know how to second and third derivatives. Then, given that all the $a$s are constants, what are the derivatives of $x^n$? Of $a_n-1x^n-1$? What are the derivatives of their sums? And so on. What exactly about this is hard for you?
  – Rory Daulton
  Jul 20 at 0:14
  
  

  
  
  
  

add a comment | 

• 
  
  
  

  
  

  
  
  
  
  
  

  
  You say you know how to second and third derivatives. Then, given that all the $a$s are constants, what are the derivatives of $x^n$? Of $a_n-1x^n-1$? What are the derivatives of their sums? And so on. What exactly about this is hard for you?
  – Rory Daulton
  Jul 20 at 0:14
  
  

  
  
  
  

You say you know how to second and third derivatives. Then, given that all the $a$s are constants, what are the derivatives of $x^n$? Of $a_n-1x^n-1$? What are the derivatives of their sums? And so on. What exactly about this is hard for you?
– Rory Daulton
Jul 20 at 0:14

You say you know how to second and third derivatives. Then, given that all the $a$s are constants, what are the derivatives of $x^n$? Of $a_n-1x^n-1$? What are the derivatives of their sums? And so on. What exactly about this is hard for you?
– Rory Daulton
Jul 20 at 0:14

add a comment | 

1 Answer
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0
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accepted

I suggest you copy the text of your question into the question body rather than link to a jpg.

Anyway, the function is a power sereis, and you differentiate it just like you differentiate any polynomial.

$f(x) = a_n x^n + a_n-1 x^n-1+cdots + a_1 x + a_0\
f'(x) = na_n x^n-1 + (n-1)a_n-1 x^n-2 +cdots +2a_2x+ a_1\
f''(x) = (n)(n-1)a_n x^n-1 + (n-1)(n-2)a_n-3+cdots + 2a_2$

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answered Jul 20 at 0:13

Doug M

39.2k31749

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1 Answer
1

active

oldest

votes

1 Answer
1

active

oldest

votes

active

oldest

votes

active

oldest

votes

up vote
0
down vote



accepted

I suggest you copy the text of your question into the question body rather than link to a jpg.

Anyway, the function is a power sereis, and you differentiate it just like you differentiate any polynomial.

$f(x) = a_n x^n + a_n-1 x^n-1+cdots + a_1 x + a_0\
f'(x) = na_n x^n-1 + (n-1)a_n-1 x^n-2 +cdots +2a_2x+ a_1\
f''(x) = (n)(n-1)a_n x^n-1 + (n-1)(n-2)a_n-3+cdots + 2a_2$

share|cite|improve this answer

answered Jul 20 at 0:13

Doug M

39.2k31749

add a comment | 

up vote
0
down vote



accepted

I suggest you copy the text of your question into the question body rather than link to a jpg.

Anyway, the function is a power sereis, and you differentiate it just like you differentiate any polynomial.

$f(x) = a_n x^n + a_n-1 x^n-1+cdots + a_1 x + a_0\
f'(x) = na_n x^n-1 + (n-1)a_n-1 x^n-2 +cdots +2a_2x+ a_1\
f''(x) = (n)(n-1)a_n x^n-1 + (n-1)(n-2)a_n-3+cdots + 2a_2$

share|cite|improve this answer

answered Jul 20 at 0:13

Doug M

39.2k31749

add a comment | 

up vote
0
down vote



accepted

up vote
0
down vote



accepted

I suggest you copy the text of your question into the question body rather than link to a jpg.

Anyway, the function is a power sereis, and you differentiate it just like you differentiate any polynomial.

$f(x) = a_n x^n + a_n-1 x^n-1+cdots + a_1 x + a_0\
f'(x) = na_n x^n-1 + (n-1)a_n-1 x^n-2 +cdots +2a_2x+ a_1\
f''(x) = (n)(n-1)a_n x^n-1 + (n-1)(n-2)a_n-3+cdots + 2a_2$

share|cite|improve this answer

answered Jul 20 at 0:13

Doug M

39.2k31749

I suggest you copy the text of your question into the question body rather than link to a jpg.

Anyway, the function is a power sereis, and you differentiate it just like you differentiate any polynomial.

$f(x) = a_n x^n + a_n-1 x^n-1+cdots + a_1 x + a_0\
f'(x) = na_n x^n-1 + (n-1)a_n-1 x^n-2 +cdots +2a_2x+ a_1\
f''(x) = (n)(n-1)a_n x^n-1 + (n-1)(n-2)a_n-3+cdots + 2a_2$

share|cite|improve this answer

answered Jul 20 at 0:13

Doug M

39.2k31749

share|cite|improve this answer

share|cite|improve this answer

answered Jul 20 at 0:13

Doug M

39.2k31749

answered Jul 20 at 0:13

Doug M

39.2k31749

answered Jul 20 at 0:13

Doug M

39.2k31749

39.2k31749

add a comment | 

add a comment |