Problem 52562. Easy Sequences 6: Coefficient sums of derivatives
Consider the polynomial function and its first-order derivative . The sums of the coefficients of P and P', are and , respectively. If we keep summing up coefficients for all higher derivatives the sums sequence will be as follows: etc. The total sum of this sequence converge to .
For this exercise, you are given an array corresponding to the coefficients of a polynomial function. In the example above, the coefficient array is therefore, . Your task is to find the total of the sum of the coefficients of the given polynomial function plus the sum of the coefficients of its first derivative plus the sum of cefficients of all its higher degree derivatives.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers14
Suggested Problems
-
Make an awesome ramp for a tiny motorcycle stuntman
655 Solvers
-
320 Solvers
-
486 Solvers
-
92 Solvers
-
Find the sides of an isosceles triangle when given its area and height from its base to apex
1919 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!