How to find the nth derivative of square root of a polynomial using forward or backward differences. f(x)=sqrt(a0+a1 x + a2 x^2+a3 x^3+...an x^n)

f(x)=sqrt(a0+a1 x + a2 x^2+a3 x^3+...an x^n+...) How to find the nth derivative of square root of a polynomial using forward or backward difference formulas

[Jan]

If you use forward and backward differences, the function is evaluated numerically. Then it does not matter if it is the square root of a polynomial. But you can calculate the derivative by pencil and paper also. Please post, what you have tried so far, because this might help to understand, what you want.

[John D'Errico]

What have you tried? If nothing, why not?

Since this looks like homework, making an effort will get you more help than if you just post a doit4me.

Do you know how to evaluate the polynomial? Can you take the square root? Surely you can find forward difference schemes on wikipedia.

Answer 1

[Jim Riggs]

See the attachment for numerical derivative formulas from my collection.