Critical Points

IIT JEE 2015 Questions › Calculus questions › Critical Points

Let f(x) =(x-1)p.(x-2)q where p,q>1. Each critical point of f(x) is a point of extremum when - (Options are given)

I got the critical points as 1 and 2.
I don't know what do I do next. I found the second derivative but I think its of no use.

#Mathematics #Calculus

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5 Answers

aditya chatterjee ·2010-12-07 01:20:52

what are the options?

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aditya chatterjee ·2010-12-07 01:36:38

i dont know how u got 1 and 2. i see that f1(x)=0 at 3/2

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swordfish ·2010-12-07 02:22:14

aargh!! the question was
(x-1)^p.(x-2)^q
I got an answer anyways.
We had to find the nature of p and q
answer is p and q are even

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Hari Shankar ·2010-12-07 03:45:45

Read both:

http://www.goiit.com/posts/listByUser/1820/5929.htm

http://www.goiit.com/posts/list/differenciation-an-easy-one-44443.htm

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swordfish ·2010-12-07 04:25:23

OMG Prophet Sir, You are from IIT-M?
I am a fan of yours :)
thanks alot. that helped
I found a method by drawing the graph substituting the values of p and q. But that would be tedious.

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Basic Integral Calculus Operators Symbols Matrix Cases

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

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

° ∂ ∞ 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

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Critical Points

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