QuestionFind the difference quotient of $f(x)=x^{2}+3$: calculate $\frac{f(x+h)-f(x)}{h}$ for $h \neq 0$ and simplify.

Studdy Solution
Finally, we simplify the difference quotient by cancelling out the common factor of $h$.
$$\frac{f(x+h)-f(x)}{h} =2x + h$$The difference quotient of $f(x)=x^{2}+3$ is $2x + h$.