1.

The values of x, at which the first derivative of the function \[{{\left( \sqrt{x}+\frac{1}{\sqrt{x}} \right)}^{2}}\]w.r.t. x is \[\frac{3}{4}\], are [MP PET 1998]

A.                    \[\pm \,2\]
B.            \[\pm \frac{1}{2}\]
C.                    \[\pm \frac{\sqrt{3}}{2}\]
D.  \[\pm \frac{2}{\sqrt{3}}\]
Answer» B.            \[\pm \frac{1}{2}\]


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