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The formula used to compute an approximation for the second derivative of a function $f$ at a point $X_0$ is

1. $\frac{f(x_0 +h) + f(x_0 – h)}{2}$

2. $\frac{f(x_0 +h) - f(x_0 – h)}{2h}$

3. $\frac{f(x_0 +h) + 2f(x_0) + f(x_0 – h)}{h^2}$

4. $\frac{f(x_0 +h) - 2f(x_0) + f(x_0 – h)}{h^2}$

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The below formula is also correct ...right ???

Because Left-Hand-Derivative = Right Hand Derivative //Else f ' (x) doesnot exist at that point.

Similiarly Left hand second derivative should be equal to right hand second derivative ..right ??? In that case below formula will also be correct ..right ??