Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/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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Question
Find the slope of the line
**Problem Statement:**

Find the slope of the line tangent to \( y = 3x(\cos x) \) at \( (\pi/2, \pi/2) \).

**Options:**

A) \(-\frac{3\pi}{2}\)

B) \(\frac{3\pi}{2}\)

C) \(\frac{\pi}{2}\)

D) \(-\frac{\pi}{2}\)
Transcribed Image Text:**Problem Statement:** Find the slope of the line tangent to \( y = 3x(\cos x) \) at \( (\pi/2, \pi/2) \). **Options:** A) \(-\frac{3\pi}{2}\) B) \(\frac{3\pi}{2}\) C) \(\frac{\pi}{2}\) D) \(-\frac{\pi}{2}\)
Expert Solution
Step 1

Consider the function 

y=3x(cosx)

Point : π2,π2

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