Question 9 If f(x) = 3x (sin x + cos x), find f'(x) = f'(5) = Question Help: Video Submit Question Jump to Answer

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 48CR
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### Question 9

#### Problem Statement:
If \( f(x) = 3x (\sin x + \cos x) \), find 

\[ f'(x) = \]

\[ f'(5) = \]

#### Additional Information:
- Question Help: [Video](#) (This is likely a hyperlink to a video resource)
  
#### Submission Options:
- There is a blue "Submit Question" button.
- There is a grey "Jump to Answer" button.

### Explanation:
This question asks the student to find the derivative of the function \( f(x) = 3x (\sin x + \cos x) \) with respect to \( x \), denoted as \( f'(x) \), and also to evaluate the derivative at \( x = 5 \), denoted as \( f'(5) \).
Transcribed Image Text:### Question 9 #### Problem Statement: If \( f(x) = 3x (\sin x + \cos x) \), find \[ f'(x) = \] \[ f'(5) = \] #### Additional Information: - Question Help: [Video](#) (This is likely a hyperlink to a video resource) #### Submission Options: - There is a blue "Submit Question" button. - There is a grey "Jump to Answer" button. ### Explanation: This question asks the student to find the derivative of the function \( f(x) = 3x (\sin x + \cos x) \) with respect to \( x \), denoted as \( f'(x) \), and also to evaluate the derivative at \( x = 5 \), denoted as \( f'(5) \).
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