How do I solve this with Bolzano?
I have a function f:R-->R, and you know that f'(x) exists . For this function f(3)= (f(1)+f(2)) /(2) and f(1) is not equal to f(2). Prove that there is at least one K in (1,2) so that 2f(x) =f(1)+f(2). Or if my English was crap, how do I apply the Bolzano theorem to g(x) = 2f(x)-f(1)-f(2), for (1,2)
Edit :Got it, I'm an idiot, but I solved it
Edit :Got it, I'm an idiot, but I solved it
(edited 6 years ago)
Quick Reply
Related discussions
- Cattolica Medicine and Surgery Non-EU Waitlist
- How do I show aptitude at problem solving if I have only got bronzes in olympiads?
- How to revise maths w pmt
- Oxbridge mathematics supercurriculars, 2025 entry
- Computer Science NEA - Advice Needed!
- LSE Pre-Arrival Proccess
- Nat 5 bio help
- Writing programs (software eng)
- Computer programming
- S6 Subject Choice
- anomalous reporting
- A Level NEA AQA Computer Science Analysis help
- Can I get full marks for writing the correct answer with no working out?
- 4 weeks till paper 1 - how to improve at AQA physics?
- Advice for getting A*s in A levels
- How do i improve physics problem solving?
- UKMT Senior challenge
- Maths Olympiads Remaining
- OCR Computer Science NEA
- weird cosine question
Latest
Trending
Last reply 2 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
Trending
Last reply 2 days ago
Did Cambridge maths students find maths and further maths a level very easy?Last reply 2 weeks ago
Edexcel A Level Mathematics Paper 2 unofficial mark scheme correct me if wrongMaths
71
