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Application of Derivatives question

2018 · Shift 0 · Q43
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  5. /2018 · Shift 0 · Q43

Application of Derivatives question

2018 · Shift 0 · Q43

JEE MainMathematicsApplication of DerivativesMCQ+4 / −1
Let f(x)=x2+1x2f\left( x \right) = {x^2} + {1 \over {{x^2}}}f(x)=x2+x21​ and g(x)=x−1xg\left( x \right) = x - {1 \over x}g(x)=x−x1​, x∈R−{−1,0,1}x \in R - \left\{ { - 1,0,1} \right\}x∈R−{−1,0,1}. If h(x)=f(x)g(x)h\left( x \right) = {{f\left( x \right)} \over {g\left( x \right)}}h(x)=g(x)f(x)​, then the local minimum value of h(x) is
  1. A
    222\sqrt 222​
  2. B
    3
  3. C
    -3
  4. D
    −22-2\sqrt 2−22​
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