The real number x when added to its inverse gives the minimum value of the sum at x equal to

  • Option 1)

    1

  • Option 2)

    -1

  • Option 3)

    -2

  • Option 4)

    2

 

Answers (1)

As we learnt in 

Rate Measurement -

Rate of any of variable with respect to time is rate of measurement. Means according to small change in time how much other factors change is rate measurement:

\Rightarrow \frac{dx}{dt},\:\frac{dy}{dt},\:\frac{dR}{dt},(linear),\:\frac{da}{dt}


\Rightarrow \frac{dS}{dt},\:\frac{dA}{dt}(Area)


\Rightarrow \frac{dV}{dt}(Volume)


\Rightarrow \frac{dV}{V}\times 100(percentage\:change\:in\:volume)

- wherein

Where dR / dt  means Rate of change of radius.

 

 x + \frac{1}{x} = y

1 - \frac{1}{x^{2}} = \frac{\mathrm{dy} }{\mathrm{d} x} = 0

x^{2} = 1

x = 1


Option 1)

1

This option is correct.

Option 2)

-1

This option is incorrect.

Option 3)

-2

This option is incorrect.

Option 4)

2

This option is incorrect.

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