हिंदी

What is the derivative of \[\log(f(x))\]?

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प्रश्न

What is the derivative of \[\log(f(x))\]?

विकल्प

  • \[f(x)\log a\cdot f'(x)\]

  • \[\log(f(x))\cdot f'(x)\]

  • \[\frac{1}{f(x)}\cdot f'(x)\]

  • \[\frac{1}{f(x)\log a}\cdot f'(x)\]

MCQ
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उत्तर

The derivative of \[\log(f(x))\] is the reciprocal of its argument times the inner derivative. Therefore it is \[\frac{1}{f(x)}\cdot f'(x)\].

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