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Finalized proofs for exercises regarding the relationship between derivatives and monotonicity in Section 10.3.#440

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younesselassri08-maker wants to merge 3 commits intoteorth:mainfrom
younesselassri08-maker:patch-2
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Finalized proofs for exercises regarding the relationship between derivatives and monotonicity in Section 10.3.#440
younesselassri08-maker wants to merge 3 commits intoteorth:mainfrom
younesselassri08-maker:patch-2

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@younesselassri08-maker
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Changes included:

  • Proved Exercise 10.3.4: strictMono_of_positive_derivative.
  • Proved theorem strictAnti_of_negative_derivative.
  • Constructed Exercise 10.3.2 (Example 10.3.2): A counter-example of a continuous, strictly monotone function that is not differentiable at 0.
  • Completed Exercise 10.3.3.
  • Completed Exercise 10.3.5.

…ivatives and monotonicity in Section 10.3.

Changes included:
- Proved Exercise 10.3.4: `strictMono_of_positive_derivative`.
- Proved theorem `strictAnti_of_negative_derivative`.
- Constructed Exercise 10.3.2 (Example 10.3.2): A counter-example of a continuous, strictly monotone function that is not differentiable at 0.
- Completed Exercise 10.3.3.
- Completed Exercise 10.3.5.
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teorth commented Feb 7, 2026

Similar to previous PRs: you are welcome to fill in the exercises in a downstream repository.

@teorth teorth closed this Feb 7, 2026
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