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JEE Mains · Maths · STD 12 - 6. Application of derivatives

જો \(k\) અને \(K\) એ વિધેય \(f\left( x \right) = \frac{{{{\left( {1 + x} \right)}^{0.6}}}}{{1 + {x^{0.6}}}}\) ની અંતરાલ \([0, 1 ]\) માં અનુક્રમે ન્યૂનતમ અને મહતમ કિમંત હોય તો જોડ \((k, K)\) મેળવો.

  1. A \((2^{-0·4}, 1)\)
  2. B \((2^{-0.4}, 2^{0.6})\)
  3. C \((2^{-0·6}, 1)\)
  4. D \(( 1, 2^{0.6})\)
Verified Solution

Answer & Solution

Correct Answer

(A) \((2^{-0·4}, 1)\)

Step-by-step Solution

Detailed explanation

\({\rm{ Let }}f(x) = \frac{{{{(1 + x)}^{\frac{3}{5}}}}}{{1 + {x^{\frac{3}{5}}}}}{\rm{\,\, and }}\,\,x \in [0,1]\)…
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