How do you find the derivative of f(x)= x/(x-1)f(x)=xx−1?
1 Answer
Dec 23, 2016
Explanation:
You could use the quotient rule, but I typically avoid doing this whenever possible as I find it tends to lead to higher chance of making an error and is generally more strenuous. To differentiate using the product rule, rewrite as
Product rule:
In our case,
Leaving
Where
Then, we leave
Putting it all together, we have
Which is equivalent to