feat(Polynomial/Chebyshev): formulas for iterated derivatives of T and U at 1

[YuvalFilmus]

The main results are iterate_derivative_T_eval_one and iterate_derivative_U_eval_one.
These are derived using recurrences which for at every point, and in particular, iterate_derivative_T_eval_zero and iterate_derivative_U_eval_zero gives the recurrences at zero.
In principle, by combining with #33311, one can compute the explicit formula for the derivative at zero.
A subsequent PR will derive consequences for these polynomials over the reals (these should work for every field).

The file is getting rather long — not sure what to do about it.

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• depends on: [Merged by Bors] - feat(Polynomial/Chebyshev): Differential equations for T and U #33283
• depends on: [Merged by Bors] - feat(Polynomial/Derivative): formulas for iterated derivatives of P * X^m #33306

[github-actions]

PR summary adde41efa9

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ derivative_T_eval_one
+ derivative_U_eval_one
+ iterate_derivative_T_eval_one
+ iterate_derivative_T_eval_one_recurrence
+ iterate_derivative_T_eval_zero_recurrence
+ iterate_derivative_U_eval_one
+ iterate_derivative_U_eval_one_recurrence
+ iterate_derivative_U_eval_zero_recurrence
+ one_sub_X_sq_mul_iterate_derivative_T_eq_poly_in_T
+ one_sub_X_sq_mul_iterate_derivative_T_eval
+ one_sub_X_sq_mul_iterate_derivative_U_eq_poly_in_U
+ one_sub_X_sq_mul_iterate_derivative_U_eval

You can run this locally as follows

## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

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No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[mathlib4-merge-conflict-bot]

This pull request has conflicts, please merge master and resolve them.

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• [Merged by Bors] - feat(Polynomial/Chebyshev): Differential equations for T and U #33283
• [Merged by Bors] - feat(Polynomial/Derivative): formulas for iterated derivatives of P * X^m #33306
  By Dependent Issues (🤖). Happy coding!