Use Eqs. (13.8), (13.11), and (13.12) to obtain the numerical derivative of f(x) = e x2x+2 at

Question:

Use Eqs. (13.8), (13.11), and (13.12) to obtain the numerical derivative of f(x) = e^x2−x+2 at x = 0.75 with stepsize h_k = 10^−k for k = 1, . . . , 10.

[2] f'(x) ~ Df(x): h = f(x+h)-f(xh) 2h (13.11) - ' (x) ~ Df(x) = (x+2h) +8f (x+h) 8f (x h) + f (x 2h) 12h (13.12)

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Introduction To Actuarial And Financial Mathematical Methods

ISBN: 9780128001561

1st Edition

Authors: Stephen Garrett

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Use Eqs. (13.8), (13.11), and (13.12) to obtain the numerical derivative of f(x) = e x2x+2 at

Question:

[2] f'(x) ~ D²f(x): h = f(x+h)-f(x- h) 2h (13.11)

Step by Step Answer:

The derivative can be determined explicitly as f05 2x 1 exxx075 306287 and this ca...View the full answer

Introduction To Actuarial And Financial Mathematical Methods

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