Question

find and simplify the difference quotient $\frac{f(x + h)-f(x)}{h}$, $h
eq0$ for the given function.
$f(x)=1$
$\frac{f(x + h)-f(x)}{h}=square$ (simplify your answer.)

Explanation:

Step1: Find f(x + h)

Since f(x)=1, then f(x + h)=1.

Step2: Substitute into difference - quotient formula

Substitute f(x + h) = 1 and f(x)=1 into $\frac{f(x + h)-f(x)}{h}$. We get $\frac{1 - 1}{h}$.

Step3: Simplify the expression

$\frac{1 - 1}{h}=\frac{0}{h}=0$.

Answer:

0