Problem
if \( f(x)=\frac{1}{2 \sqrt{x}} \) then \( f^{\prime}(x)= \) \( \sqrt{x} \) not differentiable function \( \frac{1}{4} \sqrt{x} \) \( -\frac{1}{2} \sqrt{x} \)
Solution
Step 1 ：\(f(x)=\frac{1}{2\sqrt{x}}\)
Step 2 ：\(f^{\prime}(x)=\frac{d}{dx}\left(\frac{1}{2\sqrt{x}}\right)\)
Step 3 ：\(f^{\prime}(x)= -\frac{1}{4} x^{-\frac{3}{2}}\)
