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) $- \csc x \cot x + \sec x$

Question

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) $- \csc x \cot x + \sec x$

Quizplus · Accepted Answer

The rate of change of a function is found by taking its derivative. The derivative of $f(x) = \sec x + \csc x$ is $f'(x) = \sec x \tan x - \csc x \cot x$, which simplifies to $- \csc x \cot x + \tan x \sec x$.

Find the Rate of Change of the Function f(x)=sec⁡x+csc⁡xf ( x ) = \sec x + \csc xf(x)=secx+cscx

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