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What is Differentiability Conditions and Examples about?

The document discusses the conditions for the differentiability of functions, specifically focusing on the limit definition of the derivative. It examines the differentiability of a piecewise function at specific points, concluding that it is not differentiable at x = 0 and x = 2 due to mismatched left-hand and right-hand derivatives. Additionally, it covers the derivatives of constant functions and the absolute value function, noting that the absolute value function is not differentiable at x = 0.

Author

hassankalyango34

Language

EN