-25 – 5x4 + 5x³ – 11æ² – 21x – 40
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
![**Differentiate the Following Polynomials**
*Note: some questions may not include all the possible terms.*
Given polynomial:
\[
-x^5 - 5x^4 + 5x^3 - 11x^2 - 21x - 40
\]
Calculate the first derivative:
\[ f'(x) = \text{[First Derivative]} \]
Calculate the second derivative:
\[ f''(x) = \text{[Second Derivative]} \]
Fill in the boxes with the derivatives as required.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa0c5296e-75c6-4117-9e97-6dc0919be84a%2F2c4a8e57-4de5-4631-91dd-d278cd4556ba%2Fusdjv97_processed.png&w=3840&q=75)
Transcribed Image Text:**Differentiate the Following Polynomials**
*Note: some questions may not include all the possible terms.*
Given polynomial:
\[
-x^5 - 5x^4 + 5x^3 - 11x^2 - 21x - 40
\]
Calculate the first derivative:
\[ f'(x) = \text{[First Derivative]} \]
Calculate the second derivative:
\[ f''(x) = \text{[Second Derivative]} \]
Fill in the boxes with the derivatives as required.
Expert Solution

Step 1
Given:
To find:
and .
Step 2
Differentiate f(x) with respect to x it yields f'(x),
Thus,
Using the power rule ,
Thus, above equation become,
On simplifying,
Which is required.
Step by step
Solved in 3 steps
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