Can we say Differential function is also Continious ? with eg​

Question

Can we say Differential function is also Continious ? with eg​

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Savannah 1 month 2021-08-13T04:23:21+00:00 2 Answers 0 views 0

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    0
    2021-08-13T04:24:28+00:00

    \blue{\bold{\underline{\underline{Answer:-}}}}

    In particular, any differentiable function must be continuous at every point in its domain. The converse does not hold: a continuous function need not be differentiable.

    \blue{\bold{\underline{\underline{Example:-}}}}

    For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.

    0
    2021-08-13T04:24:50+00:00

    Answer:

    In particular, any differentiable function must be continuous at every point in its domain. The converse does not hold: a continuous function need not be differentiable. For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.

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