Home
Class 12
MATHS
If y=(secx-tanx)/(secx+tanx), then (dy)/...

If `y=(secx-tanx)/(secx+tanx),` then `(dy)/(dx)` equals.

A

`2secx(secx-tanx)`

B

`-2secx(secx-tanx)^(2)`

C

`2secx(secx-tanx)^(2)`

D

`-2secx(secx+tanx)^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|8 Videos

  • DIFFERENTIATION

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

  • DIFFERENTIATION

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|8 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 y=x^(tanx)+(tanx)^(x) , then find (dy)/(dx) .

If y=(e^(x)-tanx)/(x^(n)+cotx) , then find (dy)/(dx)

If y=(1+tanx)/(1-tanx) , then value of (dy)/(dx) is:

If y=(sinx)^(tanx)+(cosx)^(secx) , find (dy)/(dx)

If y=e^(x)tanx+x.log_(e)x, then find (dy)/(dx)

If y=log_(sinx)(tanx), then (dy)/ (dx) at x=(pi)/(4) is equal to

If y=(tanx)^((tanx)^((tanx).... ∞) ,then find (dy)/(dx) at x=pi/4

If y=f((3x+4)/(5x+6))andf'(x)=tanx^(2), then (dy)/(dx) is equal to

If y =(tanx)^(tanx^(tanx)) , then prove that( dy/dx = 2) at x = pi/4

ARIHANT MATHS-DIFFERENTIATION -Exercise (More Than One Correct Option Type Questions)
  1. If y=(secx-tanx)/(secx+tanx), then (dy)/(dx) equals.

    Text Solution

    |

  2. If y=(x^4+x^2+1)/(x^2+x+1) then (dy)/(dx)=a x+b , find a and b

    Text Solution

    |

  3. Which of the following could be the sketch graph of y = (d(xlnx))/dx

    Text Solution

    |

  4. Let f(x)=x+3ln(x-2)&g(x)=x+5ln(x-1), then the set of x satisfying the ...

    Text Solution

    |

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

    Text Solution

    |

  6. Iff(x)=|x|^(|sinx|),thenf'((pi)/(4)) equals

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. "If "xsqrt(1+y)+ysqrt(1+x)=0," prove that "(dy)/(dx)=-(1)/((x+1)^(2)).

    Text Solution

    |

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

    Text Solution

    |

  11. If x=e^(y+e^(y+e^(y+...oo))),xgt0, then (dy)/(dx) is equal to

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. Let g(x) = log f(x), where f(x) is a twice differentiable positive fun...

    Text Solution

    |