Module 4 : Local / Global Maximum / Minimum and  Curve Sketching
Lecture 10 : Sufficient conditions for increasing / decreasing [Section 10.1]

Q.  Mark the following statements as true/false. Check to evaluate and then click at explanation to see      the answer.
Sr.No Quiz
      Options
Correct Answers Reasoning
1.



Let be differentiable on Then is increasing is an interval  if .

True
False

 
2.



Letbe both differentiable such thatis a decreasing functions inthenin .
True
False

 
3.



Letbe a differentiable functions such that an , is negative valued and increasing. The is also increasing.
True
False

 
4.



Let be a differentiable function, increasing on . Thenis also increasing on.
True
False

 
5.

Let be differentiable and decreasing on. Then is also decreasing on.
True
False

 
6.



Let be such that is increasing onand also onThenis increasing on.
True
False