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 answe to four decimal places. Estimate f(2) to the nearest tenth.) f(x) = 4x = 2

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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'(2) to the nearest tenth.)
f(x) = 4x; x = 2
x → 2-
1.9
f(x)
13.928809
1.99 15.779722
1.999 15.977835
1.9999 15.997782
f'(2) = 22.18
X
✔
Slope of secant =
20.71188
22.0278
22.1650
22.1800
f(2) - f(x)
2- X
X
X
X
x → 2+
2.1
18.379172
16.223352
16.022196
2.0001 16.002217
2.01
f(x)
2.001
X
X
Slope of secant =
23.7916
22.3352
22.1960
22.1700
f(2)-f(x)
2-X
X
X
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'(2) to the nearest tenth.) f(x) = 4x; x = 2 x → 2- 1.9 f(x) 13.928809 1.99 15.779722 1.999 15.977835 1.9999 15.997782 f'(2) = 22.18 X ✔ Slope of secant = 20.71188 22.0278 22.1650 22.1800 f(2) - f(x) 2- X X X X x → 2+ 2.1 18.379172 16.223352 16.022196 2.0001 16.002217 2.01 f(x) 2.001 X X Slope of secant = 23.7916 22.3352 22.1960 22.1700 f(2)-f(x) 2-X X X
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