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 $f(x)$ .
- $f(x) =\frac{1}{4 x-11}$

A) $-\frac{2}{(4 x-11) ^{2}}$

B) $\frac{4}{(4 x-11) ^{2}}$

C) $\frac{2}{(4 x-11) ^{2}}$

D) $-\frac{4}{(4 x-11) ^{2}}$