QuestionCalculate the difference quotient for $f(x)=x^{2}+5$: find $\frac{f(x+h)-f(x)}{h}$ and simplify, where $h \neq 0$.

Studdy Solution
implify the expression by dividing each term in the numerator by $h$.
$$\frac{f(x+h) - f(x)}{h} =2x + h$$The difference quotient of $f(x)=x^{2}+5$ is $2x + h$.