6. Let y = f(x) define a differentiable function the x-coordinate of the relative minima for the grap 20 The graph Wha A) H) 6 7T 6 B) / J) 5T C) K) 3 4T 3 passes D) M) RIN 2 3πt 2
6. Let y = f(x) define a differentiable function the x-coordinate of the relative minima for the grap 20 The graph Wha A) H) 6 7T 6 B) / J) 5T C) K) 3 4T 3 passes D) M) RIN 2 3πt 2
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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6
![**Question 6:**
Let \( y = f(x) \) define a differentiable function and \( f(x) = \frac{\sqrt{3}}{2} x + \cos x \). What is the x-coordinate of the relative minima for the graph of \( f(x) \) on the closed interval \([0, 2\pi]\)?
**Options:**
A) \( \frac{\pi}{6} \)
B) \( \frac{\pi}{4} \)
C) \( \frac{\pi}{3} \)
D) \( \frac{\pi}{2} \)
E) \( \frac{2\pi}{3} \)
F) \( \frac{3\pi}{4} \)
G) \( \frac{5\pi}{6} \)
H) \( \frac{7\pi}{6} \)
J) \( \frac{5\pi}{4} \)
K) \( \frac{4\pi}{3} \)
M) \( \frac{3\pi}{2} \)
P) \( \frac{5\pi}{3} \)
T) \( \frac{7\pi}{4} \)
W) \( \frac{11\pi}{6} \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb492f7ae-3a50-4a0d-856d-c60c2ea37af5%2Ffe701f42-fbbe-416e-96be-2397927ae81c%2F1dg6dn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 6:**
Let \( y = f(x) \) define a differentiable function and \( f(x) = \frac{\sqrt{3}}{2} x + \cos x \). What is the x-coordinate of the relative minima for the graph of \( f(x) \) on the closed interval \([0, 2\pi]\)?
**Options:**
A) \( \frac{\pi}{6} \)
B) \( \frac{\pi}{4} \)
C) \( \frac{\pi}{3} \)
D) \( \frac{\pi}{2} \)
E) \( \frac{2\pi}{3} \)
F) \( \frac{3\pi}{4} \)
G) \( \frac{5\pi}{6} \)
H) \( \frac{7\pi}{6} \)
J) \( \frac{5\pi}{4} \)
K) \( \frac{4\pi}{3} \)
M) \( \frac{3\pi}{2} \)
P) \( \frac{5\pi}{3} \)
T) \( \frac{7\pi}{4} \)
W) \( \frac{11\pi}{6} \)
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