Question

When $x\in (0,1)$, function $f(x)=1/\sqrt{x}$ is-

• A. Increasing
• B. Decreasing
• C. Neither increasing nor decreasing
• D. Constant

Answer 1

Answer: (B)

$f^{\prime }(x)=\frac{-1}{2x\sqrt{x}}$
for $x\in (0,1)f^{\prime }(x)<0$
Hence decreasing.