Friday 6 January 2012

Q&A: the function f(x) changes value when x changes from x0 to x0 + dx. find the approximation error | f - df |....?

the function f(x) changes value when x changes from x0 to x0 + dx. find the approximation error | f – df |. Round your answer, if appropriate.
f(x) = 1/x^2 , x0 = 3, dx = .7

what the step by step process to the the answer?
answer: .01378

Answer by Etienne de Quercy, extra-terrestre terrien-extra
use perhaps the Riemann’s dzeta function

error on page facebookFirst find the tangent line at f(x) = e^0.2x at x = 2

-This part I got: (2, e^0.4) and the slope from the derivative was .04038 = f(x)= .04038x + 1.41104

Then use the tangent line to approximate the function for x = 2.01. What is the error of approximation?

-This is the concept I do not get.
my calculations are wrong, but does anyone know the general concept behind this?

Answer by kim t
error = f(2.01) – f_approximate

with f_approximate = f(2) + 0.01 f ‘(2)

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