Find a formula for the derivative of the function
![\[ f(x) = x^4 + \sin x. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-4f27b23d1aa6ab7846c498ebd9d03300_l3.png "Rendered by QuickLaTeX.com")
Using the formula for the derivative of a polynomial and for the derivative of sine, we have
![\[ f'(x) = 4x^3 + \cos x. \]](https://www.stumblingrobot.com/wp-content/ql-cache/quicklatex.com-67dbd0fa43e2facad051a61961064987_l3.png "Rendered by QuickLaTeX.com")
Find a formula for the derivative of the function
Using the formula for the derivative of a polynomial and for the derivative of sine, we have