Home
Class 11
MATHS
If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a ...

If `y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1` is

(a)`cos(pi/4)`

(b) `sin(pi/2)`

(c)`sin(pi/6)`

(d) `cos(pi/3)`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

Which of the following is/are the value of "cos"[1/2cos^(-1)(cos(-(14pi)/5)]? (a) cos(-(7pi)/5) (b) sin(pi/(10)) (c) cos((2pi)/5) (d) -cos((3pi)/5)

"tan"^(2)(pi)/(4) "sin"(pi)/(3) "tan"(pi)/(6) "tan"^(2)(pi)/(3) =

prove: 2cos^2(pi/3)+3/4sec^2(pi/4)+4sin^2(pi/6)=cot^2(pi/6)

tan^(-1)(x/y)-tan^(-1)((x-y)/(x+y)) is (A) pi/2 (B) pi/3 (C) pi/4 (D) pi/4 or (3pi)/4

If |sin^(-1)x|+|cos^(-1)x|=pi/2,t hen

Range of tan^(-1)((2x)/(1+x^2)) is (a) [-pi/4,pi/4] (b) (-pi/2,pi/2) (c) (-pi/2,pi/4) (d) [pi/4,pi/2]

If y=(x^4-x^2+1)/(x^2+sqrt(3)x+1) and (dy)/(dx)=a x+b , then the value of a+b is (a) cot(pi/8) (b) cot((5pi)/12) (c) tan((5pi)/12) (d) tan((5pi)/8)

Prove that : "sin"(pi)/(3) "tan"(pi)/(6) +"sin"(pi)/(2) "cos"(pi)/(3) =2 "sin"^(2)(pi)/(4) .

cos ((pi)/(4) - x) cos ((pi)/(4) -y) - sin ((pi)/(4) -x) sin ((pi)/(4) -y) = sin ( x +y)

If sin y+e^(-x cos y)=e , then the value of (dy)/(dx) at (1, pi) is -

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If y=sqrt(logx+sqrt(logx+sqrt(logx+oo))),t h e n(dy)/(dx)i s (a)x/(...

    Text Solution

    |

  2. (d^n)/(dx^n)(logx)=? (a)((n-1)!)/(x^n) (b) (n !)/(x^n) (c)((n-2)!)/(...

    Text Solution

    |

  3. If y="sec"(tan^(-1)x),t h e n(dy)/(dx)a tx=1 is (a)cos(pi/4) (b) s...

    Text Solution

    |

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

    Text Solution

    |

  5. If u=f(x^3),v=g(x^2),f^(prime)(x)=cosx ,a n dg^(prime)(x)=sinx ,t h e ...

    Text Solution

    |

  6. If f^(prime)(x)=sqrt(2x^2-1) and y=f(x^2),t h e n(dy)/(dx) at x=1 is ...

    Text Solution

    |

  7. if f(x) = sqrt(1-sin2x), then f'(x) is equal to

    Text Solution

    |

  8. If x=tcost ,y=t+sint . Then (d^2 x)/(dy^2)at t=pi/2 is (a)(pi+4)/2...

    Text Solution

    |

  9. If x^3+3x^2-9x=c is of the form (x-alpha)^2(x-beta) , then c is equal ...

    Text Solution

    |

  10. If y=f(x) is an odd differentiable function defined on (-oo,oo) such t...

    Text Solution

    |

  11. f^(prime)(x)=phi(x) and phi^(prime)(x)=f(x) for all x. Also,f(3)=5 and...

    Text Solution

    |

  12. Match the value of x in column II where derivative of the function in ...

    Text Solution

    |

  13. If y=cos^(-1)((2x)/(1+x^2)),t h e n(dy)/(dx)i s (-2)/(1+x^2) for all ...

    Text Solution

    |

  14. Each question contains statements given in two columns which have to...

    Text Solution

    |

  15. Suppose the function f(x) satisfies the relation f(x+y^3)=f(x)+f(y^3)d...

    Text Solution

    |

  16. If for some differentiable function f(alpha)=0a n df^(prime)(alpha)=0,...

    Text Solution

    |

  17. Statement 1: If differentiable function f(x) satisfies the relation f(...

    Text Solution

    |

  18. Let alpha be a repeated root of a quadratic equation f(x)=0a n dA(x...

    Text Solution

    |

  19. If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),fi...

    Text Solution

    |

  20. find dy/dx ,(sqrt((1-sin2x)/(1+sin2x))) is equal to, 0ltxltpi/2

    Text Solution

    |