Let f(x) = 8 sin r + 3 cos r f'(x)- f(똥) =|

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The image displays a mathematical problem oriented towards studying calculus, specifically involving differentiation.

The given function is:

\[ f(x) = 8 \sin x + 3 \cos x \]

The tasks are to find:

1. \( f'(x) \) — the derivative of the function with respect to \( x \).
2. \( f'\left(\frac{5\pi}{6}\right) \) — the value of the derivative at \( x = \frac{5\pi}{6} \).

Below these expressions, there are input boxes for entering the solutions. There are no graphs or diagrams present in the image.
Transcribed Image Text:The image displays a mathematical problem oriented towards studying calculus, specifically involving differentiation. The given function is: \[ f(x) = 8 \sin x + 3 \cos x \] The tasks are to find: 1. \( f'(x) \) — the derivative of the function with respect to \( x \). 2. \( f'\left(\frac{5\pi}{6}\right) \) — the value of the derivative at \( x = \frac{5\pi}{6} \). Below these expressions, there are input boxes for entering the solutions. There are no graphs or diagrams present in the image.
Expert Solution
Step 1

 The given function is f(x)=8sinx+3cosxTo find f'(x) and f'5π6

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