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f(x)=x^(x) decreases in ………....

`f(x)=x^(x)` decreases in ……….

A

(0, e)

B

`(0,(1)/(e ))`

C

(0, 1)

D

`(0, oo)`

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The correct Answer is:
B
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KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. The line y=mx+1 touches y^(2)=4x, if m = …………

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  2. Find the equation of normal to the curve x^((2)/(3))+y^((2)/(3))=a^((2...

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  3. f(x)=x^(x) decreases in ……….

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  4. f(x)=2|x-2|+3|x-4| is ………… in (2, 4).

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  5. The local maximum value of f(x)=x+(1)/(x) is ………….

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  6. The local minimum value of (x)/(log x) is ……….

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  7. If log(e )4=1.3868, then approximate value of log(e )4.01= …………..

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  8. The circumference of a circle is 20 cm and there is an error of 0.02 c...

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  9. If the line y = x touches the curve y=x^(2)+bx+c at (1, 1), then …………

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  10. y=ae^(x), y=be^(-x) intersect at right angles if ……….. (a ne 0, b ne 0...

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  11. Tangent to y=5x^(5)+10x+15 …………..

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  12. f(x)=2x+cot^(-1)x-log|x + sqrt(1+x^(2))| is …………..

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  13. The sum of two non - zero numbers in 12. The minimum sum of their reci...

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  14. The local minimum value of f(x)=x^(2)+4x+5 is ………..

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  15. The maximum value of f(x)=5cos x + 12 sin x is ………..

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  16. The minimum value of f(x)=3cos x + 4sin x is ………..

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  17. f(x)=x log x has minimum value ………

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  18. f(x)=sqrt(3)cos x + sin x, x in [0, (pi)/(2)] is maximum for x = …………

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  19. f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2) has minimum value at x = …………..

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  20. f(x)=(x+2)e^(-x) is increasing in ………….

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