calculas hain?

IIT JEE 2015 Guidance › Calculus questions › calculas hain?

for a function f(x) satisying f(0)=1,f'(0)=-1,f(x)>0 for all x,what can we say regarding f''(x)

#Mathematics #Calculus

UP 0 DOWN 0 0 7
Post on FacebookPost anonymously?

7 Answers

21

Shubhodip ·2011-04-15 05:46:47

Nothing

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

kunl ·2011-04-15 05:49:56

but i think it has to become positive at some point of time!
f(x)>0 for all x diya hua hai....but can't move ahead of this thought in my mind![2]

UP 0 DOWN 0
Post on FacebookPost anonymously?

21

Shubhodip ·2011-04-15 08:40:42

What is the source of this question?

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

kunl ·2011-04-16 04:39:25

answer is f"(x)<0 for all x!

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

kunl ·2011-04-16 04:43:51

for those interested in knowing the source: it is from JEE-1982!

UP 0 DOWN 0
Post on FacebookPost anonymously?

106

Asish Mahapatra ·2011-04-16 05:12:52

that isnt d correct answer. Consider f(x) to be x²- x + 1

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

kunl ·2011-04-16 05:55:15

i feel same asish ;)( n moy feels same too.just wanted some epert intervenison....afterall its all about jee question !

UP 0 DOWN 0
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