Doubt on Calculas

JEE Advanced 2015 Discussion Forum › Calculus questions › Doubt on Calculas

A real valued function f is defined on the interval (-1,2).A point x is said to be a fixed point of f if f(x)=x.Suppose that f is a differentiable function such that f(0)>0 and f(1)=1.Show that if f'(1)>1,then f has a fixed point in the interval (0,1).

#Mathematics #Calculus

UP 0 DOWN 0 0 2
Post on FacebookPost anonymously?

2 Answers

333

Hardik Sheth ·2013-04-25 05:21:12

draw the graph...its easy..

UP 0 DOWN 0
Post on FacebookPost anonymously?

Rohit Chowdhuri ·2013-04-25 19:53:48

Can't figure out the procedure!Please give a suitable solution for it.

UP 0 DOWN 1
Hardik Sheth since derivative at 1,greater than 1,slope is greater than the slope of y=x..nw since f(0)greater than 0,u have to cut the line y=x atlest once so that slope of tangent at x=1 is greater than 1
Upvote·0· Reply ·2013-04-25 23:12:49
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

Close [X]

Doubt on Calculas

2 Answers

Your Answer

Add Image

Similar Questions