Question

find f(x). f(x) = \frac{x^{\frac{9}{8}}}{2} f(x) =

Explanation:

Step1: Recall power - rule

The power - rule for differentiation is $\frac{d}{dx}(ax^n)=nax^{n - 1}$, where $a=\frac{1}{2}$ and $n = \frac{9}{8}$.

Step2: Apply power - rule

$f'(x)=\frac{9}{8}\times\frac{1}{2}x^{\frac{9}{8}-1}=\frac{9}{16}x^{\frac{1}{8}}$.

Answer:

$\frac{9}{16}x^{\frac{1}{8}}$