f(x) = 3.1.³ et 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our basis for analytical (theoretical comparison) 2. With x 3.98, x=3.99, x=4.00, x=4.01 and x=4.02 find f'(4.00) using: a) 2-point Backward difference b) 2-point Forward Difference c) 2-point Central Difference d) 3-point Backward Difference e) 3-point Forward Difference f) 4-point Central Difference 3. Compute the relative error (%) for each method

f(x) = 3.1.³ et 1. Using the laws of Calculus, provide the expression for f'(x)- which will be our basis for analytical (theoretical comparison) 2. With x 3.98, x=3.99, x=4.00, x=4.01 and x=4.02 find f'(4.00) using: a) 2-point Backward difference b) 2-point Forward Difference c) 2-point Central Difference d) 3-point Backward Difference e) 3-point Forward Difference f) 4-point Central Difference 3. Compute the relative error (%) for each method

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter7: Integration

Section7.1: Antiderivatives

Problem 46E: The slope of the tangent line to a curve is given by, f(x)=6x24x+3. If the point (0,1) is on the...

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