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The least value of f(x) = sin 2x -x on ...

The least value of `f(x) = sin 2x -x ` on `[-pi//2,pi//2]` is

A

`sqrt(3)/2-pi/6`

B

`sqrt(3)/2+pi/6`

C

`pi/6-sqrt(3)/2`

D

`1/2-pi/6`

Text Solution

Verified by Experts

The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-APPLICATIONS OF DIFFERENTIATION-EXERCISE 1E (MAXIMA AND MINIMA)
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  3. The least value of f(x) = sin 2x -x on [-pi//2,pi//2] is

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  4. The difference between the greatest and least value of the function f(...

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  5. For a gt 0, if the function f(x)=2 x^(3) - 9 a x^(2) + 12 a^(2) x + 1...

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  7. Let f : R to R be defined, by {{:(k-2x,"if"" "x le -1),(2x+3,"if" " "...

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  9. Given P(x)=x^(4)+ax^(3)+bx^(2)+cx +d such that x=0 is the only real ro...

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  11. The point on the curve y=x/(1+x^2) where the tangent to the curve has ...

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  12. The curve y=ax^2+bx has minimum at (2,-12) on it. Then (a,b) =

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  13. If f(x) = a/x +bx has minimum at (2,1) then (a,b) =

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  14. If y=(ax+b)/((x-1)(x-4)) has a maximum value at the point (2,-1) then

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