Compute the derivative of
![\[ f(x) = \frac{1+x-x^2}{1-x+x^2}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-613fb9d5e9ac3e369205b88f7083bb3b_l3.png "Rendered by QuickLaTeX.com")
Using the quotient rule for the derivative, we compute
![\[ f'(x) = \frac{(1 -2x)(1-x+x^2) - (1+x-x^2)(-1+2x)}{(1-x+x^2)^2} = \frac{2(1-2x)}{(1-x+x^2)^2}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-a2caba21acad7cf7d5a61e021c855a09_l3.png "Rendered by QuickLaTeX.com")
Compute the derivative of a given function
Using the quotient rule for the derivative, we compute
Using the quotient rule for the derivative, we compute
Compute the derivative of