Consider the following function.

f$($x$)=$ cos

$7$x$2$

$$

Find the derivative of the function.

f$($x$)=$

Use the derivative to determine whether the function is strictly monotonic on its entire domain and therefore has an inverse function.

This function is strictly monotonic and therefore has an inverse.This function is not strictly monotonic and therefore does not have an inverse.$$It cannot be determined whether or not this function is strictly monotonic.