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What does it mean to say that a function is differentiable on its domain with derivative?

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What does it mean to say that a function<br><img src='https://www.fatskills.com/images2/GradExams/DC2CB94B-CD30-48F4-AE4C-2E3DD193794D.png' height='18' width='92'/> is differentiable on its domain with derivative<br><img src='https://www.fatskills.com/images2/GradExams/CDA222E5-8675-487F-9195-F54757D155A8.png' height='20' width='35'/>?





 
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