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 comments
Loading...
Problem Recent Solvers16
Suggested Problems
-
Number of 1s in the Binary Representation of a Number
479 Solvers
-
Combinations without using nchoosek
137 Solvers
-
Approximation of Pi (vector inputs)
271 Solvers
-
Hexagonal numbers on a spiral matrix
164 Solvers
-
Large Sum (inspired by Project Euler 13)
114 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!