Differentiation Question 212
Question: If $ f(x)=({\log _{\cot x}}\tan x){{({\log _{\tan x}}\cot x)}^{-1}}, $ then $ f’(2)= $
Options:
A) 2
B) 0
C) $ \frac{1}{2} $
D) - 2
Show Answer
Answer:
Correct Answer: B
Solution:
Obviously, $ f(x)={{({\log _{\cot x}}\tan x)}^{2}} $
$ ={{({\log _{\cot x}}{{(\cot x)}^{-1}})}^{2}}\Rightarrow f’(x)=0 $ .
BETA
