• Want FREE Counselling for Exam Preparation?
###### Call Us
800-355-2211

Speak With a Friendly Mentor. ###### Deepak Patra posted an Question
November 19, 2021 • 11:45 am 30 points
• IIT JAM
• Mathematics (MA)

# Differentiable supposef:rr isa function. then which the following statements are necessarilly frue? is (a.) if flx)sr<1 for alfer, then f has at least one fixed

differentiable Supposef:RR isa function. Then which the following statements are necessarilly frue? is (a.) If flx)sr<1 for alfeR, then f has at least one fixed point. * (b.) If f has a unique fixed point, then then S(x)sr<1 for all xeR-. (c.) If f has a unique fixed point, then f(x)2r>-i for all xeR (d.) None of these

• 0 Likes
• 0 Shares
• ##### Anonymous User

a and b

sir why not option c ... if we take f(x)= e^x it also satisfies f'(x) >r> -1 ?????

c also right I think 1 but in options -1

sir if we take f = x then .. f' (x)= 1 and and it does not follows the condition given in option 2

if u take f(x) =x then not unique fixed point. so we take not f(x)=x

### Do You Want Better RANK in Your Exam?

Start Your Preparations with Eduncle’s FREE Study Material

• Updated Syllabus, Paper Pattern & Full Exam Details
• Sample Theory of Most Important Topic
• Model Test Paper with Detailed Solutions
• Last 5 Years Question Papers & Answers