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For the function f(x) = 12x – 10, find the slope of the tangent line at x = = 3.

For the function f(x) = 12x – 10, find the slope of the tangent line at x = = 3.

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
**Problem Statement:** For the function \( f(x) = 12x - 10 \), find the slope of the tangent line at \( x = 3 \). **Answer Submission Box:** - There is an empty input field labeled "Answer" where you can enter your solution. - Next to the input field is a "Submit Answer" button where you click to submit your response. Explanation: This problem is asking for the slope of the tangent line to the function \( f(x) \) at a specific point \( x = 3 \). For linear functions like the one given (\( f(x) = 12x - 10 \)), the slope is constant and is represented by the coefficient of \( x \). Thus, the slope of the function \( f(x) \) at any point, including \( x = 3 \), is the value of the coefficient of \( x \) in the given linear equation. In this case, submit the value of the coefficient as your answer.
Transcribed Image Text:**Problem Statement:** For the function \( f(x) = 12x - 10 \), find the slope of the tangent line at \( x = 3 \). **Answer Submission Box:** - There is an empty input field labeled "Answer" where you can enter your solution. - Next to the input field is a "Submit Answer" button where you click to submit your response. Explanation: This problem is asking for the slope of the tangent line to the function \( f(x) \) at a specific point \( x = 3 \). For linear functions like the one given (\( f(x) = 12x - 10 \)), the slope is constant and is represented by the coefficient of \( x \). Thus, the slope of the function \( f(x) \) at any point, including \( x = 3 \), is the value of the coefficient of \( x \) in the given linear equation. In this case, submit the value of the coefficient as your answer.
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