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)
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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
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Jan
le 5 Fév 2018
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
le 5 Fév 2018
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.
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Jim Riggs
le 5 Fév 2018
See the attachment for numerical derivative formulas from my collection.
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