JEE Mains · Maths · STD 12 - 6. Application of derivatives
Let \(k\) and \(K\) be the minimum and the maximum values of the function \(f\left( x \right) = \frac{{{{\left( {1 + x} \right)}^{0.6}}}}{{1 + {x^{0.6}}}}\) in \([0, 1 ]\) respectively, then the ordered pair \((k, K)\) is equal to
- A \((2^{-0·4}, 1)\)
- B \((2^{-0.4}, 2^{0.6})\)
- C \((2^{-0·6}, 1)\)
- D \(( 1, 2^{0.6})\)
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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