2. Let f(x) = x² ln x + 1. Use the second derivative formula to approximate f"(1) when h = 0.2. %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Can you solve second question?

1. Values for f(x) = e¬¤ – 1 +x are given in table.
%3D
-
1.2 1.4
f(x) | 0.25 | 0.37 | 0.5 | 0.65
0.8
1
a) Use forward-difference and backward-difference formulas to approximate
f'(1)
b) Use three-point formulas to approximate f'(1) and find error bounds for
the three-point midpoint formula.
2. Let f(x) = x² ln x + 1. Use the second derivative formula to approximate
f"(1) when h = 0.2.
Transcribed Image Text:1. Values for f(x) = e¬¤ – 1 +x are given in table. %3D - 1.2 1.4 f(x) | 0.25 | 0.37 | 0.5 | 0.65 0.8 1 a) Use forward-difference and backward-difference formulas to approximate f'(1) b) Use three-point formulas to approximate f'(1) and find error bounds for the three-point midpoint formula. 2. Let f(x) = x² ln x + 1. Use the second derivative formula to approximate f"(1) when h = 0.2.
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