1. Values for f(x) = e¯ª – 1 +x are given in table. 0.8 1 1.2 1.4 f(x) | 0.25 0.37 0.5 0.65 a) Use forward-difference and backward-difference formulas to approximate f'(1) b) Use three-point formulas...

1. Values for f(x) = e¯ª – 1 +x are given in table.<br>0.8<br>1<br>1.2<br>1.4<br>f(x) | 0.25<br>0.37<br>0.5<br>0.65<br>a) Use forward-difference and backward-difference formulas to approximate<br>f'(1)<br>b) Use three-point formulas to approximate f' (1) and find error bounds for<br>the three-point midpoint formula.<br>2. Let f(x) = x² ln x + 1. Use the second derivative formula to approximate<br>f

Extracted text: 1. Values for f(x) = e¯ª – 1 +x are given in table. 0.8 1 1.2 1.4 f(x) | 0.25 0.37 0.5 0.65 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. %3D

Jun 03, 2022

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1. Values for f(x) = e¯ª – 1 +x are given in table. 0.8 1 1.2 1.4 f(x) | 0.25 0.37 0.5 0.65 a) Use forward-difference and backward-difference formulas to approximate f'(1) b) Use three-point formulas...

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