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 $f(x)$ .
- $f(x) =\sqrt{7 x+32}$

A) $-\frac{7}{2 \sqrt{7 x+32}}$

B) $-\frac{7}{\sqrt{7 \mathrm{x}+32}}$

C) $\frac{7}{\sqrt{7 \mathrm{x}+32}}$

D) $\frac{7}{2 \sqrt{7 x+32}}$