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The function f(x)=(log(pi+x))/(log(e+x))...

The function `f(x)=(log(pi+x))/(log(e+x))`s is

A

increasing in `[0, oo)`

B

decreasing in `[0, oo)`

C

decreasing in `[0, (pi)/(e)]` & increasing in `[(pi)/(e), oo)`

D

increasing in `[0, (pi)/(e)] & decreasing in `[(pi)/(e), oo)`

Text Solution

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The correct Answer is:
B
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DISHA PUBLICATION-APPLICATION OF DERIVATIVES -EXERCISE - 1
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  2. If f(x)=k x^3-9x^2+9x+3 monotonically increasing in R , then k<3 (b) ...

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  3. The function f(x)=(log(pi+x))/(log(e+x))s is

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  4. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

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  5. The minimum value of the function, f(x)=x^(3//2)+x^(-3//2)-4(x+(1)/(...

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  6. The minmumu value of the fucntion f(x)=a^2/x+b^2/(a-x),a gt 0, b g...

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  7. It is given that at x=1 , the function x^4-62 x^2+a x+9 attains its ma...

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  8. Find the maximum and minimum values of f , if any, of the function gi...

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  9. The function f(x) = 1 + x (sin x) [cos x], 0 lt x le (pi)/(2) (where [...

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  12. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

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  13. Let f(x) be a function defined as below : f(x)=sin(x^(2)-3x) ,x le...

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  14. Tangents are drawn to x^2+y^2=16 from the point P(0, h)dot These tange...

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  15. A cylindrical gas container is closed at the top and open at the ...

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  16. Let f(x)=a/x+x^2dot If it has a maximum at x=-3, then find the value o...

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  17. The radius of a right circular cylinder increases at the rate of 0.1 ...

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  18. A point on the parabola y^2=18 x at which the ordinate increases at tw...

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