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If f(x) = 3x(sin x + cos x), find the derivative.

If f(x) = 3x(sin x + cos x), find the derivative.

Calculus: Early Transcendentals
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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Question
**Question 12** Given the function \( f(x) = 3x(\sin x + \cos x) \), find the derivative. The derivative is: \[ f'(x) = 3 \left[ x(\cos x - \sin x) + (\sin x + \cos x) \right] \] Calculate \( f'(3) \).
Transcribed Image Text:**Question 12** Given the function \( f(x) = 3x(\sin x + \cos x) \), find the derivative. The derivative is: \[ f'(x) = 3 \left[ x(\cos x - \sin x) + (\sin x + \cos x) \right] \] Calculate \( f'(3) \).
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