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Which of the following functions is incr...

Which of the following functions is increasing in `(0 , oo)` ?

A

`e^(x)`

B

`(1)/(x)`

C

`-x^(2)`

D

`x^(-2)`

Text Solution

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The correct Answer is:
A
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PREMIERS PUBLISHERS-APPLICATIONS OF DIFFERENTIAL CALCULUS-Problems For Practice (Choose the correct answer)
  1. underset(x rarr 0)(lim) (a^(x) - b^(x))/(c^(x) - d^(x)) is

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  2. If s = t^(3) - 4t^(2) + 7 the velocity when the acceleration is zero i...

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  3. Which of the following functions is increasing in (0 , oo) ?

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  4. The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = ...

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  5. The stationary point of f(x) = x^((3)/(5)) (4 -x) occurs at x=

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  6. The angle between the curve x^(2) - y^(2) = 8 and (x^(2))/(25) + (y^(2...

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  7. The radius of a cylinder is increasing at the rate of 2 cm/sec and the...

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  8. underset(x rarr oo)(lim) (x^(2))/(e^(x)) is

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  9. f is a differentiable function defined on an interval I with positive ...

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  10. For what values of x the rate of increase of x^(3) - 2x^(2) + 3x + 8 i...

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  11. The least possible perimeter of a rectangule of area 400 m^(2) is

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  12. The equation of the normal to the curve y = x^(3) " at" (1, 1) is

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  13. The equation of the tangent to the curve y = (x^(3))/(5) " at " (-1, -...

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  14. Which of the following is concave down:

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  15. If f(a) = 2, f'(a) = 1, g(a) = -1, g' (a) = 2. Then underset(x rarr a)...

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  16. The velocity v of a particle moving along a straight line when at a di...

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  17. The value of c in Lagrange's mean value theorem for the function f(x) ...

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  18. The function f(x) = x^(2) is decreasing in

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  19. y = -e^(x) is

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  20. If f has a local extremum at a and if f'(a) exists then

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