Differentiation Question 247

Question: $ \frac{d}{dx}{\log (\sec x+\tan x)}= $

[AISSE 1982]

Options:

A) $ \cos x $

B) $ \sec x $

C) $ \tan x $

D) $ \cot x $

Show Answer

Answer:

Correct Answer: B

Solution:

$ \frac{d}{dx}{\log (\sec x+\tan x)}=\frac{\sec x\tan x+{{\sec }^{2}}x}{\sec x+\tan x}=\sec x $ .