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If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-...

If `f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c)` `v=sqrt(c)` `-sqrt(c-1),(c >1),` then `fog(u)gof(v)` (d) `fog(u)

A

`fog(u) lt fog(v)`

B

`gof (u) lt gof (v)`

C

`gof (u) gt gof (v)`

D

`fog (u) lt fog (v)`

Text Solution

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The correct Answer is:
C
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 2
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  2. Let f(x)=x^3+ax^2+bx+5sin^2x be an increasing function in the set of r...

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  3. The function f(x) = 3 cos^(4)x + 10 cos^(3) x + 6 cos^(2)x - 3, (0 le ...

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  4. f(x) = 2x^(2) – log | x | (x != 0) is monotonic increasing in the int...

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  5. The minimum value of e^((2x^(2)-2x+1)sin^(2)x) is

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  6. The number of solutions of the equation x^3 +2 x^2 +5 x + 2 cos x = 0 ...

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  7. Let g(x)=2f(x/2)+f(1-x) and f^(primeprime)(x)<0 in 0<=x<=1 then g(x)

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  8. If f(x)=x+sinx ,g(x)=e^(-x),u=sqrt(c+1)-sqrt(c) v=sqrt(c) -sqrt(c-1),(...

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  9. f(x)=(sin^(2)x)e^(-2sin^(2)x)*max f(x)-min f(x)=

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  10. Given P(x)""=""x^4+""a x^3+""c x""+""d such that x""=""0 is the only ...

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  11. L L ' is the latus sectum of the parabola y^2=4a xa n dP P ' is a doub...

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  12. Let y=x^2 e^(-x) then the interval in which y increases with respect t...

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  13. The function log(1+x) - (2x)/(x+2) is increasing in the interval:

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  14. Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3...

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  15. Which one of the following statements is correct in respect of the cur...

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  16. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

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  17. Let domain and range of f(x) and g(x) are respectively (0,oo). If f(x)...

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  18. The volume V and depth x of water in a vessel are connected by the rel...

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  19. Find the maximum value and the minimum value and the minimum value of ...

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  20. Find the points of inflection for f(x)=sinx f(x)=3x^4-4x^3 f(x)=x...

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