Simplify the Difference Quotient $\frac{f(x+h)-f(x)}{h}$ , and Evaluate As $h$ Approaches 0 to Find the Rate of Change Of

Multiple Choice

Simplify the difference quotient $\frac{f(x+h) -f(x) }{h}$ , and evaluate as $h$ approaches 0 to find the rate of change of $f(x)$ .
- $f(x) =\sqrt{5 x}$

A) $\frac{5}{2 \sqrt{5 x}}$

B) $-\frac{2}{\sqrt{5 x}}$

C) $-\frac{5}{2 \sqrt{5 x}}$

D) $\frac{1}{\sqrt{5 x}}$