question_answer

The derivative of \[{{a}^{\sec x}}\] w.r.t. \[{{a}^{\tan x}}(a>0)\] is.

A)  \[\sec x\,{{a}^{\sec x-\tan x}}\]               

B)  \[\sin x\,{{a}^{\tan x-\sec x}}\]

C)  \[\sin x\,{{a}^{\sec x-\tan x}}\]

D)  \[{{a}^{\sec x-\tan x}}\]