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Differentiability and continuity

Differentiability and continuity

We explore the notion of differentiability at a point and its relationship with continuity, using the definition of a derivative. If a function is differentiable at x = c, then it is continuous at x = c. However, a function being continuous does not guarantee that it is differentiable, as demonstrated with an absolute value function.

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Differentiable Function Examples

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Differentiable and Non Differentiable Functions

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Differentiability of Functions | Overview, Equation & Examples

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Differentiability at a point: graphical

Differentiability at a point: graphical

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Derivatives of inverse functions: from equation

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Answered: What is the rule for calculating the derivative of a composition of two differentiable functions? How is such a derivative evaluated? Give examples. | bartleby

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Differentiability at a point: graphical

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Differentiability at a point: algebraic (function is differentiable)

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