मराठी

Which expression defines the derivative of a real function \[f\] at a point \[c\] in its domain?

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प्रश्न

Which expression defines the derivative of a real function \[f\] at a point \[c\] in its domain?

पर्याय

  • \[f'(c)=\lim_{h\to0}\frac{f(c)-f(c+h)}{h}\]

  • \[f'(c)=\lim_{h\to0}\frac{f(c+h)+f(c)}{h}\]

  • \[f'(c)=\lim_{h\to0}\frac{f(c+h)-f(c)}{h}\]

  • \[f'(c)=\lim_{h\to c}\frac{f(c+h)-f(c)}{h}\]

MCQ
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उत्तर

The derivative at \[c\] is defined by the limit of the difference quotient as \[h\to0\]. The numerator must be \[f(c+h)-f(c)\], and the denominator is \[h\].

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