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is the function f(x) = mod (tan x) differentiable at x = pi/2 Plz reply

is the function


f(x) = mod (tan x)


differentiable at x = pi/2


 


Plz reply 

Grade:12

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
11 years ago

Dear STUDENT NAME,

Ans:- f(x)=|tanx| is a function which is positive everywhere. If we draw the graph of it we can see that we get continuous graph except the points n∏/2 (where n is an integer) because it tends to infinite at those points. As a function which is not continuous at a point is not differentiable at that point also hence at the point ∏/2 |tanx| is not differentiable

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Regards,

Askiitians Experts
Soumyajit Das IIT Kharagpur

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