Q3); Consider the function f(r) =r for r> 0. (a) Compute the first derivative using forward, backward, and centered difference algorithms 05 and r –15 with h= 0.01. compare with exact derivative.

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Q3),
Consider the function f(r) =r for r> 0.
(a) Compute the first derivative using forward, backward, and centered difference algorithms
at T =
0.5 and r= 1.5 with h =0.01. compare with exact derivative.
(b) Compute the second derivative using the centered difference algorithm at r = 1 with
h=0.01, compare with exact derivative.
Transcribed Image Text:Q3), Consider the function f(r) =r for r> 0. (a) Compute the first derivative using forward, backward, and centered difference algorithms at T = 0.5 and r= 1.5 with h =0.01. compare with exact derivative. (b) Compute the second derivative using the centered difference algorithm at r = 1 with h=0.01, compare with exact derivative.
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