हिंदी

For a circle with area \[A=\pi r^2\], what is \[\frac{dA}{dr}\]?

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प्रश्न

For a circle with area \[A=\pi r^2\], what is \[\frac{dA}{dr}\]?

विकल्प

  • \[2\pi r\]

  • \[2\pi r^2\]

  • \[\pi r^2\]

  • \[\pi r\]

MCQ
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उत्तर

Differentiate \[A=\pi r^2\] with respect to \(r\).
The derivative is \[\frac{dA}{dr}=2\pi r\], the rate of change of area with respect to radius.

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