7 нояб. 2013 г. · If f is differentiable everywhere, then what are the values of m and b? How exactly would I be able to get the values to be differentiable? Is the piecewise-defined function differentiable Prove that a piecewise function f is differentiable at 0 Why this trick apparently works to make piecewise function ... Другие результаты с сайта math.stackexchange.com

19 окт. 2016 г. · Piecewise functions may or may not be differentiable on their domains. To be differentiable at a point cx. = , the function must be continuous, ...

2 окт. 2014 г. · A piecewise function can definitely be differentiable if (a) its pieces are differentiable and (b) it's differentiable at the points where they're joined.

Theorem 1: Suppose g is differentiable on an open interval containing x=c. If both and exist, then the two limits are equal, and the common value is g'(c).

9 июл. 2022 г. · A piecewise function is usually differentiable everywhere EXCEPT at the places where the “pieces” join together. · Piece-wise functions are ... How to prove the differentiability of a piecewise function - Quora How to determine if a piecewise function is differentiable at the ... Другие результаты с сайта www.quora.com

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To do so requires precise, analytic definitions, not vague words such as “broken” and “pointy”. limits at x = a equal each other and equal f(a).

A piecewise-defined function with a parameter in the definition may only be continuous and differentiable for a certain value of the parameter.