Find the Rate of Change of the Function $f ( x ) = \sec x + \csc x$

Multiple Choice

Find the rate of change of the function $f ( x ) = \sec x + \csc x$ .

A) $- \csc x \cot x + \tan x \sec x$
B) $\csc x \cot x - \csc x \cot x$
C) $- \csc x \cot x + 1$
D) $- \csc x \cot x - \tan x \sec x$
E) $- \csc x \cot x + \sec x$