find and simplify the difference quotient $\frac{f(x + h)-f(x)}{h}$, $h\neq0$ for the given…
find and simplify the difference quotient $\frac{f(x + h)-f(x)}{h}$, $h\neq0$ for the given function.\n$f(x)=1$\n$\frac{f(x + h)-f(x)}{h}=square$ (simplify your answer.)
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