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The values of x, at which the first deri...

The values of x, at which the first derivative of the function `(x+(1)/(x))` w.r.t. x is `(3)/(4)`, are -

A

`pm(1)/(2)`

B

`pm(2)/(sqrt(3))`

C

`pm (sqrt(3))/(2)`

D

`pm2`

Text Solution

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The correct Answer is:
D
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CHHAYA PUBLICATION-MCQ ZONE -Question Paper 3
  1. The image of the point (-3, 5, 2) in the plane 2x-y+z+3=0 is -

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  2. The equation of the plane passing through the points (1, -1, 2) and (2...

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  3. The values of x, at which the first derivative of the function (x+(1)...

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  4. If f(x)=sin3x cos4x, then the value of f''((pi)/(2)) is -

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  5. Let f(x) be a differentiable even function, consider the following sta...

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  6. If y=x+x^(2)+x^(3)+…oo where |x| lt 1, then for |y| lt 1 the value of...

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  7. Find which function does not obey mean value theorem in [0, 1] -

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  8. The derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2)) " at...

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  9. The derivative of the function f(x)=log(5)(log(7)x)[x gt 7] is -

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  10. If 2y=(x-a)sqrt(2ax-x^(2))+a^(2)"sin"^(-1)(x-a)/(a), then the value of...

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  11. The value of lim(x to 0)(1+3x)^((x+2)/(x)) is -

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  12. If y=x^(3) then the value of ((d^(2)y)/(dx^(2)))/([1+((dy)/(dx))^(2)]^...

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  13. If x=(1)/(z), y=f(x) and (d^(2)y)/(dx^(2))=kz^(3)(dy)/(dz)+z^(4)(d^(2...

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  14. If xy=ax^(2)+(b)/(x), then the value of x^(2)(d^(2)y)/(dx^(2))+2x(dy...

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  15. The value of c in Rolle's theorem when f(x)=2x^(3)-5x^(2)-4x+3, x in [...

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  16. Let f(x)={((sin pix)/(5x),"when "x ne 0),(k,"when "x=0):} If f(x) i...

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  17. If int f(x) dx=f(x), then int {f(x)}^(2)dx is equal to -

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  18. The value of int(sqrt(tanx))/(sinx cosx)dx is equal to -

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  19. The value of int(0)^((pi)/(2))x sin x dx is equal to -

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  20. int(-2)^(2)(|x|+|x-1|)dx is equal to -

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