Question
Find the indicated difference quotient and simplify. Assume that $h \neq 0$.$$\text { If } f(x)=x^{2}+x, \text { find } \frac{f(2+h)-f(2)}{h}$$.
Step 1
To do this, we substitute $2+h$ into the function $f(x) = x^{2} + x$. This gives us: \[f(2+h) = (2+h)^{2} + (2+h) = h^{2} + 4h + 4 + 2 + h = h^{2} + 5h + 6.\] Show more…
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