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Let f(x) = 6.1x² - 3.4x. Use the difference quotient and h = 0.001 to estimate the slope of the tangent line at x = 5.

Let f(x) = 6.1x² - 3.4x. Use the difference quotient and h = 0.001 to estimate the slope of the tangent line at x = 5.

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
Let \( f(x) = 6.1x^2 - 3.4x \). Use the difference quotient and \( h = 0.001 \) to estimate the slope of the tangent line at \( x = 5 \). What is the slope (round your answer to **one decimal place**)? \( m = \) [ ] What is the \( y \)-value at \( x = 5 \)? \( f(5) = \) [ ] Use the above (rounded) slope and \( y \)-value to write the equation of the tangent line to the graph of \( f(x) \) at \( x = 5 \). Write your answer in \( mx + b \) format. \( y = \) [ ]
Transcribed Image Text:Let \( f(x) = 6.1x^2 - 3.4x \). Use the difference quotient and \( h = 0.001 \) to estimate the slope of the tangent line at \( x = 5 \). What is the slope (round your answer to **one decimal place**)? \( m = \) [ ] What is the \( y \)-value at \( x = 5 \)? \( f(5) = \) [ ] Use the above (rounded) slope and \( y \)-value to write the equation of the tangent line to the graph of \( f(x) \) at \( x = 5 \). Write your answer in \( mx + b \) format. \( y = \) [ ]
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