Question

Differentiate the function y = f(x) = (x^2−x)/x

Answer 1

Do you know the quotient rule?

Answer 2

No. I think that may be what I need to do a few of the derivative problems I can't understand

Answer 3

If the function is rational:
\[\frac{g(x)}{h(x)}\]
Then the differentiation is:
\[\frac{g'(x)h(x) - g(x)h'(x)}{[h(x)]^2}\]

Answer 4

So here you have:
\[\frac{(x^2 - x)' x - (x^2 - x)x'}{x^2}\]

Answer 5

Using that, I get x^2/x^2. Can 1 be my answer?

Answer 6

Yep. That's it.

Answer 7

if you don't have to use quotient rule, try this :

f(x) = (x^2 - x)/x = x^2/x - x/x = x -1
so f'(x) = 1

Answer 8

Thanks!