@ If f(x) = 5x(sin x + cos x), find f'(x). f'(x) = Evaluate the derivative at x = 3. Enter an approximation, rounded to the nearest thousandth. f'(3) = Question Help: Video Submit Question & 7 8 delete

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...
Question
If \( f(x) = 5x(\sin x + \cos x) \), find \( f'(x) \).

\[ f'(x) = \]

Evaluate the derivative at \( x = 3 \). Enter an approximation, rounded to the nearest thousandth.

\[ f'(3) = \]

Question Help:
Transcribed Image Text:If \( f(x) = 5x(\sin x + \cos x) \), find \( f'(x) \). \[ f'(x) = \] Evaluate the derivative at \( x = 3 \). Enter an approximation, rounded to the nearest thousandth. \[ f'(3) = \] Question Help:
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