Home
Class 12
MATHS
If y= sec (tan^(-1) (x)), then dy/dx at ...

If `y= sec (tan^(-1) (x))`, then `dy/dx` at `x=1` is equal to ......... A) `44198` B) `1` C) `1/sqrt 2` D) `sqrt 2`

A

44198

B

1

C

1/`sqrt 2`

D

`sqrt 2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Differentiation

    CHETANA PUBLICATION|Exercise Exercise|127 Videos
  • DIFFERENTIAL EQUATIONS

    CHETANA PUBLICATION|Exercise EXERCISE|254 Videos
  • Indefinite Integration

    CHETANA PUBLICATION|Exercise Exercise|221 Videos

Similar Questions

Explore conceptually related problems

If y=tan^-1((1+x)/(1-x)) , then dy/dx is equal to

If y = tan^(-1) (sec x - tan x ) , "then" (dy)/(dx) is equal to

If y = tan^(-1)((x)/(sqrt(1 -x^2))) , then (dy)/(dx) is equal to

If tan^-1(x^2+y^2)=alpha,then(dy)/(dx) is equal to

If y=tan^(-1)((sqrt(1+x^2)-1)/x) , then y'(1) is equal to

If y = sqrt((1 + x)/(1 -x)) " then " (dy)/(dx) = ?

If y=cos^(-1) (2x sqrt (1-x^2)) , find dy/dx

If y= (sin^(-1) x)^2 , then (1-x^2) (d^2 y)/(dx^2) - x (dy/dx) = ..........

If y= 1- cos theta , x= 1- sin theta , then dy/dx at theta = pi /4 is........ A) -1 B) 1 C) 44198 D) 1/ sqrt 2

CHETANA PUBLICATION-Differentiation-Exercise
  1. Find dy/dx if y= log (frac { x+ sqrt (x^2+a^2) }{sqrt (x^2+a^2) - x ...

    Text Solution

    |

  2. Let f(1)=3, f'(1)= frac{-1}{3}. g(1)=-4, and g'(1) = frac{-8}{3}, The ...

    Text Solution

    |

  3. If y= sec (tan^(-1) (x)), then dy/dx at x=1 is equal to ......... A) ...

    Text Solution

    |

  4. If f(x) = sin^(-1){(frac {4^((x +(1/2)))}{1+ 2^(4x)))}, which of the f...

    Text Solution

    |

  5. If x^y = y^x, then dy/dx = ......... A) frac{y(x log y - y)}{x(y log ...

    Text Solution

    |

  6. If y= sin(2 sin^(-1) x), then dy/dx= ............ A) frac{2-4x^2}{sqr...

    Text Solution

    |

  7. If y= tan^(-1) (frac{x}{1+ sqrt (1 - x^2)}) + sin[ 2tan^(-1) (sqrt ((1...

    Text Solution

    |

  8. If y is a function of x and log(x+y) = 2xy, then the value of y'(0) = ...

    Text Solution

    |

  9. If g is the inverse function of f and f'(x)= frac{1}{1+x^7}, then the ...

    Text Solution

    |

  10. If x sqrt (y+1) + y sqrt (x+1) =0 and x != y then dy/dx=............ A...

    Text Solution

    |

  11. If y= tan^(-1) (sqrt (frac {a-x}{a+x})), where -a < x < a then dy/dx= ...

    Text Solution

    |

  12. If x= a(costheta + sintheta), y= a(sintheta + costheta), then (d^2y)/(...

    Text Solution

    |

  13. If y= a cos(log x) and A ((d^2 y)/(dx^2)) + B (dy/dx) + C = 0 , then ...

    Text Solution

    |

  14. If x^y = e^(x-y), then dy/dx = ............ A) frac{1 + x}{1+ log x} ...

    Text Solution

    |

  15. If y= 1- cos theta, x= 1- sin theta, then dy/dx at theta = pi /4 is......

    Text Solution

    |

  16. If sec(frac{x+y}{x-y}) = a^2, then (d^2 y)/(dx^2) = ............ A) y...

    Text Solution

    |

  17. If y = sec^(-1) (frac{sqrt x - 1}{x+sqrt x}) + sin^(-1) (frac{x + sqr...

    Text Solution

    |

  18. Derivative of tan^3theta with respect to sec^3theta at theta = (pi/3) ...

    Text Solution

    |

  19. If x^5y = (x+y)^(n-2) and dy/dx = y/x, then n=..........

    Text Solution

    |

  20. If x= e^2log(e)(sin theta), y= e^2log(e)(cos theta), then dy/dx at ...

    Text Solution

    |