GATE CSE
First time here? Checkout the FAQ!
x
+3 votes
285 views

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

 

asked in Calculus by Veteran (64.4k points)   | 285 views

1 Answer

+3 votes
Best answer
answered by Veteran (294k points)  
selected by

just_bhavana 

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 ?? 



Top Users Sep 2017
  1. Habibkhan

    6334 Points

  2. Warrior

    2202 Points

  3. Arjun

    2150 Points

  4. nikunj

    1980 Points

  5. manu00x

    1726 Points

  6. SiddharthMahapatra

    1718 Points

  7. Bikram

    1706 Points

  8. makhdoom ghaya

    1650 Points

  9. A_i_$_h

    1518 Points

  10. rishu_darkshadow

    1512 Points


25,979 questions
33,554 answers
79,348 comments
31,011 users