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If y=|cosx|+|sinx|, then (dy)/(dx) at x...

If `y=|cosx|+|sinx|`, then `(dy)/(dx) ` at `x = (2pi)/3` is

A

`(1-sqrt3)/2`

B

0

C

`1/2(sqrt3-1)`

D

`(1)/2 (sqrt3+1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
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  9. d/(dx){Tan^(-1)""(x)/(1+x^2)+Tan^(-1)""(1+x^2)/x} =

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  10. If sin^(-1)x+sin^(-1)y=pi/2 , then (dy)/(dx) is equal to

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  11. y = sin^(-1)2x+Tan^(-1)3x + Cos^(-1)2x+Cot^(-1)3x then (dy)/(dx)

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  12. d/(dx){cos^(-1)x+Sin^(-1)sqrt(1-x^2)}

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  14. d/(dx){cos^(-1)((4x^3)/27-x)}=

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  16. d/(dx)(Tan^(-1)""(x)/(sqrt(a^2-x^2))=

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  17. d/(dx)(Tan^(-1)(sinhx))=

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