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Let f(x) = |x-1| + |x-2| + |x-3| + |x-4...

Let `f(x) = |x-1| + |x-2| + |x-3| + |x-4| AA x in R`. Then

A

x= 2 is the point of local minima

B

x= 3 is the point of local minima

C

x= 1 is the point of local minima

D

none of these

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The correct Answer is:
D
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FIITJEE-APPLICATION OF DERIVATIVE-Assignment Objective (level-1)
  1. If a,b,c are positive constants such that agtb then the maximum value...

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  2. If f(x) = x^(2) e^(-x^(2)/a^(2) is an increasing function then (for a ...

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  3. Let f(x) = |x-1| + |x-2| + |x-3| + |x-4| AA x in R. Then

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  4. Let P(x) be a polynomial of degree n with real coefficients and is non...

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  5. Let p = 144 ^(sin^(2)x) + 144^( cos^(2)x), then the number of integra...

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  6. Cosine of the angle of intersection of curves y = 3^(x-1) logx and y= ...

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  7. The equation of curve passing through (1,1) in which the subtangent is...

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  8. In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum...

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  9. f:R rarr R,f(x) is differentiable such that ff((x))=k(x^(5)+x).(kne0) ...

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  10. f:R rarr R,f(x) is differentiable such that f(x)=k(x^(5)+x).(kne0) The...

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  11. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

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  12. If the curves x^(2)/a^(2)+ y^(2)/4 = 1 and y^(3) = 16x intersect at r...

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  13. If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt...

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  14. The function in which Rolle's theorem is verified is:

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  15. f(x)={:{(max g(t), 0let le x , 0le x lepi/2),(min g(t) , xlet lt 0, -p...

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  16. If f''(x)+f'(x)+f^(2)(x)=x^(2) be the differentiable equation of a cur...

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  17. The maximum value of the function f(x)=((1+x)^(0. 6))/(1+x^(0. 6)) in ...

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  18. A is a set containing n(1) elements and B is another set containing n(...

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  19. Let A be the point where the curve 5 alpha ^(2) x ^(3) +10 alpha x ^(2...

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  20. For the curve x^(2)y^(3) = c (where c is a constant), the portion of t...

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