Let f(x) = 5.7x² - 8x. Use the difference quotient and h = 0.001 to estimate the slope of the tangent line at x = 6. What is the slope (round your answer to one decimal place)? m What is the y-value at x = 6? f(6) = Use the above (rounded) slope and y-value to write the equation of the tangent line to the graph of f(x) at x = 6. Write your answer in mx + b format. Y

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let f(x) = 5.7x² - 8x. Use the difference quotient and
0.001 to estimate the slope of the tangent line at x = 6.
h
What is the slope (round your answer to one decimal place)?
m
=
What is the y-value at x = 6? ƒ(6)=
Y
=
Use the above (rounded) slope and y-value to write the
equation of the tangent line to the graph of f(x) at x = 6.
Write your answer in mx + b format.
Transcribed Image Text:Let f(x) = 5.7x² - 8x. Use the difference quotient and 0.001 to estimate the slope of the tangent line at x = 6. h What is the slope (round your answer to one decimal place)? m = What is the y-value at x = 6? ƒ(6)= Y = Use the above (rounded) slope and y-value to write the equation of the tangent line to the graph of f(x) at x = 6. Write your answer in mx + b format.
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