Numerically estimate the slope of the line tangent to the graph of the function f at the given input value. Show the numerical estimation table with four estimates. (Round your answers for f(x) to six decimal places. Round your answers for the slope of the secant to four decimal places. Estimate f'(1) to the nearest hundredth.) f(x) = 5Vx; x = 1 Slope of secant = 0= 18 = {(1) x- 1- f(x) x-1+ f(x) Slope of secant = 1- x 0.9 4.25 1.1 0.99 1.01 0.999 1.001 0.9999 1.0001 f'(1) =

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Numerically estimate the slope of the line tangent to the graph of the function f at the given input value. Show the numerical estimation table with four estimates. (Round your answers for f(x) to six
decimal places. Round your answers for the slope of the secant to four decimal places. Estimate f'(1) to the nearest hundredth.)
f(x) = 5Vx; x = 1
Slope of secant = 0= 18
= {(1)
x- 1-
f(x)
x-1+
f(x)
Slope of secant =
1- x
0.9
4.25
1.1
0.99
1.01
0.999
1.001
0.9999
1.0001
f'(1) =
Transcribed Image Text:Numerically estimate the slope of the line tangent to the graph of the function f at the given input value. Show the numerical estimation table with four estimates. (Round your answers for f(x) to six decimal places. Round your answers for the slope of the secant to four decimal places. Estimate f'(1) to the nearest hundredth.) f(x) = 5Vx; x = 1 Slope of secant = 0= 18 = {(1) x- 1- f(x) x-1+ f(x) Slope of secant = 1- x 0.9 4.25 1.1 0.99 1.01 0.999 1.001 0.9999 1.0001 f'(1) =
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