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
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…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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Similar to previous PRs: you are welcome to fill in the exercises in a downstream repository. |
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Changes included:
strictMono_of_positive_derivative.strictAnti_of_negative_derivative.