Home
Class 12
MATHS
If y=|cosx|+|sinx|,then(dy/dx)"at"x=(2pi...

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

A

`1/2(sqrt3+1)`

B

`2(sqrt3-1)`

C

`1/2(sqrt3-1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

If y=e^x sinx , then find dy/dx

If y= (sinx)^x ,then dy/dx =

sinx(dy)/(dx)+y=y^(2)

If y=sqrt(sinx+y) , then find (dy)/(dx)

The area exclosed by the curves y=sinx+cosx and y=|cosx-sinx| over the interval [0,(pi)/(2)] is

If y= (x)^cosx ,find dy/dx

If f(x)=cos^(-1)(1/sqrt(13)(2cosx-3sinx)) +sin^(-1)(1/sqrt(13)(2cosx+3sinx)) , then find (df(x))/(dx) at x=3/4dot

y(dy)/(dx)sinx=cosx(sinx-(y^(2))/(2)),y=1" when "x=(pi)/(2)

(dy)/(dx) - 3y cot x = sin 2x, y = 2 when x = (pi)/(2)

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, The...

    Text Solution

    |

  2. If y=1/(1+x^(n-m)+x^(p-m))+1/(1+x^(m-n)+x^(p-n))+1/(1+x^(m-p)+x^(n-p))...

    Text Solution

    |

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

    Text Solution

    |

  4. The differential coefficient of f(logex) with respect to x, where f(x)...

    Text Solution

    |

  5. If f(x) = cosx. cos2x. Cos4x. Cos8x.cos16x, then f '(pi/4) is :

    Text Solution

    |

  6. If f(x)=log|2x|,x!=0 then f'(x) is equal to

    Text Solution

    |

  7. The derivative of an odd function is always

    Text Solution

    |

  8. If y=1/(1+x+x^2+x^3), then value of (d^2y)/(dx^2)at x=0 is

    Text Solution

    |

  9. The function f(x)=(cosx+isinx)(cos3x+isin3x)...{cos(2n-1)x+isin(2n-1)x...

    Text Solution

    |

  10. If y=sqrt(x+sqrt(y+sqrt(x+sqrty+...oo))) then (dy)/(dx) equal to

    Text Solution

    |

  11. If x^3y^9=(x+y)^k and x(dy)/(dx)=y then k =

    Text Solution

    |

  12. If y=log(3x+5) and (d^2y)/(dx^2)=A/(3x+5)^2 then A =

    Text Solution

    |

  13. Let f be a function satisfying f(x+y)=f(x)+f(y) and f(x)=x^3phi(x) for...

    Text Solution

    |

  14. If y=cos^(-1)cos[2sin^(-1)(cosx)] then (dy)/dx=

    Text Solution

    |

  15. If x^2+y^2=t+1/t and x^4+y^4=t^2+1/t^2 then (dy)/(dx)=

    Text Solution

    |

  16. If x=sin^(-1)(3t-4t^3),y=cos^(-1)(8t^4-8t^2+1) then (dy)/(dx)=

    Text Solution

    |

  17. If f(x)=e^xg(2x),g(0)=4 and g'(0) = 2 then f'(0) is equal to

    Text Solution

    |

  18. Let f(x)=sinx,g(x)=x^2 and h(x) = log x. If F(x)=(h(f(g(x)))), then F'...

    Text Solution

    |

  19. If y = f(x) (dy)/dx=f'(x) therfore y=f{g(x)} then f'{g(x)} will be den...

    Text Solution

    |

  20. If f(x)=xf(2a-x) then f''(0) equal to

    Text Solution

    |