Continuity and differentiability

AIEEE 2015 Tutorials › Calculus questions › Continuity and differentiability

Problem 1) Let f(x) be a polynomial of degree one and f(x)be a function defined by
f(x) = { g(x) ; for x â‰¤ 0
{ and (1+x) / (2+x) ^1/x ; for x >0
If f(x) is continous at x=0 and f(-1) = f ' (1), then g(x) is equals to :-
(a) -1/9 (1+6 ln 3) x (b) 1/9 (1+6 ln 3) x
(c) -1/9 (1-6 ln3) x (d) none of these

#Mathematics #Calculus

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6 Answers

3

msp ·2009-10-12 07:46:21

i just want to know whether u have mistyped the qn.

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rahul nair ·2009-10-12 07:57:10

g(0) should be 0.....none of the options indicate so.......

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Philip Calvert ·2009-10-12 08:12:07

one doubt in the statement of question...

is (1+x) / (2+x)^1/x a polynomial ?

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msp ·2009-10-12 08:16:32

yups philip i too ask the same,i guess that the polynomial shud be g(x)

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11

Tush Watts ·2009-10-13 04:23:28

Edit.....

the function f(x) is given by

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Tush Watts ·2009-10-13 04:37:30

@ xyz
we have to find g(x)

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Your Answer

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