Compute the derivative of
![\[ f(x) = \frac{1}{x} + \frac{2}{x^2} + \frac{3}{x^3}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-ea46df6abdef8d4c9365ce6500b7559d_l3.png "Rendered by QuickLaTeX.com")
Using the formula for the derivative of an integral power of
, we compute
![\[ f'(x) = -\frac{1}{x^2} - \frac{4}{x^3} - \frac{9}{x^4}. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-5bdebf45c0a959f719d8f4aa5101653a_l3.png "Rendered by QuickLaTeX.com")
Compute the derivative of a given function
Using the formula for the derivative of an integral power of
, we compute
Using the formula for the derivative of an integral power of
, we compute