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using excel VBA to create the program. Will venmo if you leave your handle below and the answer is correct 3) This problem will have

using excel VBA to create the program. Will venmo if you leave your handle below and the answer is correctimage text in transcribed

3) This problem will have you program a very basic numerical differentiation. f(x - h/2) (x - h/2) (x +h/2) To calculate a numerical derivative, first a value ofx is chosen (the location where the derivative will be calculated). A secant line is drawn that intersects the function at two places fir +h/2) and fx - h/2), and these two function bracket the x value. The derivative is calculated as the slope of this line dy f(x+7)-f(x As shown in the figure, the value calculated from this method will be different than the actual derivative. However, as the distance h decreases in magnitude, the value of the derivative will become closer to the actual value Write a program that calculates the numerical derivative of the following function For this problem: Input values for x and the tolerance from the A spreadsheet. 1 tolerance0.001 Run . Calculate the tolerance beginning with the second derivative calculation. For this problem, the tolerance is the magnitude of the 4 iteratio difference between successive derivative calculations Iterate until the tolerance is below the threshold entered in the spreadsheet. .Use a single function to calculate f(x). This 8 function will be called twice per iteration n dy/dx tolerance 117.96678 10.64678 3 8.816784 7.32 1.83 4 8.359284 0.4575 8.244909 0.114375 6 8.216315 0.028594 8.209167 0.007148 8 8.20738 0.001787 9 8.206933 0.000447 when calculating f(x+ and f (x .Test your program with a function you can take the derivative analytically (through calculus) 12 13 14 .Submit a validation of your program. 3) This problem will have you program a very basic numerical differentiation. f(x - h/2) (x - h/2) (x +h/2) To calculate a numerical derivative, first a value ofx is chosen (the location where the derivative will be calculated). A secant line is drawn that intersects the function at two places fir +h/2) and fx - h/2), and these two function bracket the x value. The derivative is calculated as the slope of this line dy f(x+7)-f(x As shown in the figure, the value calculated from this method will be different than the actual derivative. However, as the distance h decreases in magnitude, the value of the derivative will become closer to the actual value Write a program that calculates the numerical derivative of the following function For this problem: Input values for x and the tolerance from the A spreadsheet. 1 tolerance0.001 Run . Calculate the tolerance beginning with the second derivative calculation. For this problem, the tolerance is the magnitude of the 4 iteratio difference between successive derivative calculations Iterate until the tolerance is below the threshold entered in the spreadsheet. .Use a single function to calculate f(x). This 8 function will be called twice per iteration n dy/dx tolerance 117.96678 10.64678 3 8.816784 7.32 1.83 4 8.359284 0.4575 8.244909 0.114375 6 8.216315 0.028594 8.209167 0.007148 8 8.20738 0.001787 9 8.206933 0.000447 when calculating f(x+ and f (x .Test your program with a function you can take the derivative analytically (through calculus) 12 13 14 .Submit a validation of your program

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