Question
Find the critical numbers and the open intervals on which the function is increasing ordecreasing. (Hint: Check for discontinuities.) Sketch the graph of the function.$$f(x)=\frac{x}{x+1}$$
Step 1
We can use the quotient rule for differentiation, which states that the derivative of a quotient $u/v$ is $(vu'-uv')/v^2$. Here, $u=x$ and $v=x+1$. So, $u'=1$ and $v'=1$. Applying the quotient rule, we Show more…
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