Home
Class 12
MATHS
If f(x)=|x|^(|sinx|), then f'((pi)/(4)) ...

If `f(x)=|x|^(|sinx|)`, then `f'((pi)/(4))` equals

A

`((pi)/(4))^(1sqrt2).((sqrt2)/(2)log"(4)/(pi)-(2sqrt2)/(pi))`

B

`((pi)/(4))^(1sqrt2).((sqrt2)/(2)log"(4)/(pi)+(2sqrt2)/(pi))`

C

`((pi)/(4))^(1sqrt2).((sqrt2)/(2)log"(4)/(pi)-(2sqrt2)/(pi))`

D

`((pi)/(4))^(1sqrt2).((sqrt2)/(2)log"(4)/(pi)+(2sqrt2)/(pi))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|10 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|16 Videos

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise For Session 10|4 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|x|^(|tan x|) then f'(-(pi)/(6)) is equal to

If f(x)=|cos x-sin x|, then f'((pi)/(2)) is equal to

If f(x)=|cos x|, then f' ((3pi)/(4)) is equal to

If f(x)=|cosx|, then f'((3 pi)/(4)) equal to

If f(x)=|cosx-sinx| , then f'(pi/4) is equal to

If f(x)=|cos x|, then f((3 pi)/(4)) is equal to

If f(x)=(1-cosx)/(1-sinx)," then: "f'((pi)/(2)) is

f(x)=|cos2x|; then f'((pi)/(4)+theta) is equal to

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. Let f(x)=x+3ln(x-2)&g(x)=x+5ln(x-1), then the set of x satisfying the ...

    Text Solution

    |

  2. If cos^(-1) ((x^(2) -y^(2))/( x^(2)+y^(2)))=a ,then (dy)/(dx) =

    Text Solution

    |

  3. If f(x)=|x|^(|sinx|), then f'((pi)/(4)) equals

    Text Solution

    |

  4. y=x/(a+x/(b+x/(a+x/(b+...oo)))), (dy)/(dx)=b/(a(b+2y))

    Text Solution

    |

  5. If y=x^(x^(2)), then (dy)/(dx) equals

    Text Solution

    |

  6. xsqrt(1+y)+ysqrt(1+x)=0 then (dy)/(dx)=

    Text Solution

    |

  7. If x^2e^y+2xye^x+13=0 then (dy)/(dx)=

    Text Solution

    |

  8. If x=e^(y+e^(y^(+..."to"00))),xgt0,"then"(dy)/(dx)

    Text Solution

    |

  9. Let g be the inverse function of f and f'(x)=(x^(10))/(1+x^(2)). If g(...

    Text Solution

    |

  10. If f and g are the function whose graphs are as shown, let u(x)=f(g(x)...

    Text Solution

    |

  11. f'(x) = g(x) and g'(x) =-f(x) for all real x and f(5)=2=f'(5) then f^2...

    Text Solution

    |

  12. if f(x) = x +x^2/1! + x^3/3! +---+ x^n/n! then f(0) + f'(0) + f''(0) ...

    Text Solution

    |

  13. If y=(f(0)f(0)f)(x)andf(0)=0,f'(0)=2 then y'(0) is equal to

    Text Solution

    |

  14. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

    Text Solution

    |

  15. If y=f(x)andx=g(y) are inverse functions of each other, then

    Text Solution

    |

  16. If y is a function of x then (d^2y)/(dx^2)+y \ dy/dx=0. If x is a func...

    Text Solution

    |

  17. Leg g(x)=ln(f(x)), whre f(x) is a twice differentiable positive functi...

    Text Solution

    |

  18. If the function f(x)=x^(3)+e^(x//2)andg(x)=f^(-1)(x), then the value ...

    Text Solution

    |

  19. If f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta))), where -pi/4 lt ...

    Text Solution

    |

  20. If y=log(sinx)(tanx), then (dy)/ (dx) at x=(1)/(4) is equal to

    Text Solution

    |