Problem 4. Consider the following data points corresponding to a function f(x): 0.25 0 0.5 1 0.75 1 0.8 1.15 X f(x) -1.8 -0.6 Estimate the first and second derivative of f(x) at x=0.5.

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Problem 4. Consider the following data points corresponding to a function f(x):
X
0 0.25 0.5
-0.6 1
f(x) -1.8
Estimate the first and second derivative of f(x) at x=0.5.
0.75 1
0.8
1.15
Transcribed Image Text:Problem 4. Consider the following data points corresponding to a function f(x): X 0 0.25 0.5 -0.6 1 f(x) -1.8 Estimate the first and second derivative of f(x) at x=0.5. 0.75 1 0.8 1.15
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