Home
Class 11
MATHS
"F i n d"(dy)/(dx)"if"y=tan^(-1)((sqrt(1...

`"F i n d"(dy)/(dx)"if"y=tan^(-1)((sqrt(1+x^2)-1)/x),` where `x!=0`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

"Find" (dy)/(dx)"if" y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

Find (dy)/(dx) for y=tan^(-1){sqrt((a-x)/(a+x))}," where " -a lt x lt a

Differentiate tan^(-1)(( sqrt(1+x^(2))-1)/(x))

Find (dy)/(dx) for y=tan^(-1)sqrt((a-x)/(a+x)) ,-a < x < a

(dy)/(dx) for y=tan^(-1){sqrt((1+cosx)/(1-cosx))} ,where 0 lt x lt pi , is

Differentiate the following functions with respect to x : (i) tan^(-1){sqrt(1+x^2)-x} , x in RR (ii) tan^(-1){(sqrt(1+x^2)-1)/x},\ \ x!=0

(1+x^(2))(dy)/(dx)+y=e^(tan^(-1)x)

If y= tan ^-1 ((x)/sqrt(a^2-x^2)) then dy/dx =?

Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x ,x!=0.

Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)x ,x!=0.

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. ("lim")(xvecoo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) ...

    Text Solution

    |

  2. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  3. "F i n d"(dy)/(dx)"if"y=tan^(-1)((sqrt(1+x^2)-1)/x), where x!=0

    Text Solution

    |

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

    Text Solution

    |

  5. If y=tan^(-1)((3x-x^3)/(1-3x^2)),-1/(sqrt(3))ltxlt1 /(sqrt(3)), then f...

    Text Solution

    |

  6. Find (dy)/(dx) for the functions: y=(x+sinx)/(x+cosx)

    Text Solution

    |

  7. Find the derivative of the function given by f(x)=(1+x)(1+x^2)(1+x^4)(...

    Text Solution

    |

  8. Find (dy)/(dx) if y=sec^(-1)((sqrt(x)+1)/(sqrt(x)-1))+sin^(-1)((sqrt(x...

    Text Solution

    |

  9. Let f(x)=xsinpix ,x > 0. Then for all natural numbers n ,f^(prime)(x) ...

    Text Solution

    |

  10. Find (dy)/(dx) if y=tan^(-1)((4x)/(1+5x^2))+tan^(-1)((2+3x)/(3-2x))

    Text Solution

    |

  11. If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)),="" then="" find="" (dy)/(d...

    Text Solution

    |

  12. (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^-1 (2) -((d^2y)/(dx^2))^-1...

    Text Solution

    |

  13. Find (dy)/(dx) if y=log{e^x((x-2)/(x+2))^(3/4)}

    Text Solution

    |

  14. let f(x)=2+cosx for all real x Statement 1: For each real t, there ex...

    Text Solution

    |

  15. Differentiate the function with respect to x using the first principle...

    Text Solution

    |

  16. Match the following: List - I, List - II Let y(x)=cos(3cos^(-1)x) ...

    Text Solution

    |

  17. Differentiate the function with respect to x using the first principle...

    Text Solution

    |

  18. Differentiate the following functions with respect to x from first...

    Text Solution

    |

  19. If f(x) is differentiable and strictly increasing function, then the v...

    Text Solution

    |

  20. If f(x)=[2x]sin3pix then prove that f'(k^(+))=6kpi(-1)^(k), (where [.]...

    Text Solution

    |