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 commentsGroup

Programování - Cody
- 12 Problems
- 526 Finishers
- Find the sum of all the numbers of the input vector
- Maximum value in a matrix
- Make the vector [1 2 3 4 5 6 7 8 9 10]
- Return area of square
- Select every other element of a vector
- Triangle Numbers
- Check if number exists in vector
- Create times-tables
- Determine whether a vector is monotonically increasing
- Roll the Dice!
- Verify Law of Large Numbers
- Solve a System of Linear Equations
Problem Recent Solvers15
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!