Problem
\( f(x)=3\left(\frac{3}{\sqrt{x}}+2 x^{-\frac{3}{2}}\right)^{3} \)
Solution
Step 1 ：\( f'(x) = 3 \cdot 3 \left(\frac{3}{\sqrt{x}}+2 x^{-\frac{3}{2}}\right)^{2} \cdot \left(-\frac{3}{2x\sqrt{x}} - 3x^{-\frac{5}{2}}\right) \)
Step 1 ：\( f'(x) = 3 \cdot 3 \left(\frac{3}{\sqrt{x}}+2 x^{-\frac{3}{2}}\right)^{2} \cdot \left(-\frac{3}{2x\sqrt{x}} - 3x^{-\frac{5}{2}}\right) \)
