Using Backward Difference, approximate the derivative of the function f(x)=/x at x=1 for various values of h given in the Table below. At n = 10, what is the percentage of error? Round off answer to 10 decimal places. 1 0.1000000000 0.0500000000 3 0.0250000000 0.0125000000 5 0.0062500000 6 0.0031250000 0.0015625000 8 0.0007812500 9 0.0003906250 10 0.0001953125

Q: The empirical equation L = 1 + 4x10-5t + 4x10-/t2 gives the length of a certain metal rod as a…

A: Given that    The empirical equation L=1+4×10-5t+4×10-7t2 gives the length of a certain metal rod as…

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A: The formula for the backward difference is f'x=fxi+1-fxih Now, h=0.1xi=2xi+1=xi+h=2+0.1=2.1fx=x2ex

Q: 3) Using the same graph of the function below, estimate the instantaneous rate of change of the…

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Q: Determine the second derivative of the function at x = 2 from the table shown. Round-off to four…

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Q: Estimate f'(-12) using the data in the table. x -13 -11 -9 -7 f(x) 1.02 1.05 1.12 1.14

A: Given the tablewe have to find the value of f'(-12)

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A: To find out the average rate of change of function on the interval.

Q: 0.5 0.6 0.7 f(x) 0.493 0.712 0.933 f'(x)

A: Given: x 0.5 0.6 0.7 f(x) 0.493 0.712 0.933 To compute: f'(x) using forward, central and…

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Q: Estimate f'(2.37) from the following data X f(x) Justify your method of choice. 2.36 2.37 2.38 2.39…

A: By Newtons forward method:At x=x1, dydx=1h[∆y1-12∆2y1+13∆3y1-14∆4y1]

Q: Which of the following is NOT TRUE about the tangent line intersecting the graph of a function? The…

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A: Three point central difference formula.