Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Continuity and Differentiability

Question:

A trigonometric cotangent function is :

  • continuous at π/3
  • differentiable at π/4
Options:

only 1 is true

only 2 is true

both are true

both are false

Correct Answer:

both are true

Explanation:

Theorem : If a function is differentiable at a point, it is also continuous at the point.

We know, from the graphs of the cotangent function, that it is continuous from 0<x<nπ/2, n = 0,1,2,3...

Thus, option c is correct.