मराठी

If a function \[f\] is differentiable at a point \[c\], what must be true at that point?

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प्रश्न

If a function \[f\] is differentiable at a point \[c\], what must be true at that point?

पर्याय

  • \[f\] is not continuous at \[c\].

  • \[f'(c)=0\].

  • \[f\] is continuous at \[c\].

  • \[f\] is differentiable only from the left at \[c\].

MCQ
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उत्तर

Differentiability implies continuity at the same point. Thus, if \[f\] is differentiable at \[c\], then \[f\] is continuous at \[c\].

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