Diketahui f(x) = (x^2 – 2/x√x)^2, maka f'(x) = ….

Soal

Diketahui f(x) = (x^2 – 2/x√x)^2, maka f'(x) = ….

Diketahui $f(x) = \left(x^2 - \frac{2}{x\sqrt{x}}\right)^2$, maka $f'(x) =$

$$\begin{aligned} f'(x) &= 2\left(x^2 - \frac{2}{x\sqrt{x}}\right)\left(2x + \frac{3}{2}\frac{1}{x^2\sqrt{x}}\right) \\ &= \boxed{4x^3 - 6\sqrt{x} - \frac{9}{x^2\sqrt{x}}} \end{aligned}$$