Thursday, 15 August 2013

Estimate a value knowing the values of: the function, the derivative and the second derivative in 0

Estimate a value knowing the values of: the function, the derivative and
the second derivative in 0

Please suppose you have an unknown function r(x).
This function r(x) is defined in the range: [-5; 5]
You know that:
r(0) = 1;
r'(0) = -1;
r"(0) = 1.
Please estimate the value of r(x) in the point 1/10 (= 0.1), explaining
the method or the theorems you've used to estimate.
Thank you in advance for your kind help.

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