Problem 52E

52. (a) If $f(x)=4 x-\tan x,-\pi / 2<x<\pi / 2$, find $f^{\prime}$

and $f^{\prime \prime}$.

(b) Check to see that your answers to part (a) are reasonable by comparing the graphs of $f, f^{\prime}$, and $f^{\prime \prime}$.

 

Step-by-Step Solution