Re: When taking multiple derivatives of a polynomial, will there ever be an end?
Originally Posted by Mathinik
When taking multiple derivatives of a polynomial, will there ever be an end?
Polynomials are defined as functions that are made entirely of terms like where can only take on nonnegative integer values. What happens to terms that look like this when you differentiate?
Re: When taking multiple derivatives of a polynomial, will there ever be an end?
Originally Posted by Mathinik
When taking multiple derivatives of a polynomial, will there ever be an end?
If by end you mean you will get the zero function. The answer is yes. If you take n+1 derivatives of an nth degree polynomial you will always get zero.
Re: When taking multiple derivatives of a polynomial, will there ever be an end?
Originally Posted by Prove It
Polynomials are defined as functions that are made entirely of terms like where can only take on nonnegative integer values. What happens to terms that look like this when you differentiate?
becomes constant and then 0 then it's over, got it ty!