Home
Class 11
MATHS
"Find"(dy)/(dx)"if "y=tan^(-1)((sqrt(1+x...

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

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

If y=tan^-1((sqrt(1+x^2)-1)/x) , then dy/dx at x = 0 is

Find (dy)/(dx) when : y= 2 tan^(-1) sqrt((x-a)/(b-x))

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

Find (dy)/(dx) for y=tan^(-1) sqrt(sec^2x/ (cosec^2x))

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

Find (dy)/(dx)," if "y= sin^(-1)x +sin^(-1)sqrt(1-x^(2)), 0 lt x lt 1 .

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

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

Find (dy)/(dx) when : y=sin[2 tan^(-1) sqrt((1-x)/(1+x))]

Find (dy)/(dx) , when y="tan"^(-1)(x)/(1+sqrt(1-x^(2)))+sin(2 tan^(-1)sqrt((1-x)/(1+x)))

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. lim(x->oo)(sin^4x-sin^2x+1)/(cos^4x-cos^2x+1) is equal to (a) 0 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. (c)answer any three questions: 1. if y=sin ^(-1) ((2x)/(1+x^2)) , find...

    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^(pr...

    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)/(dx)

    Text Solution

    |

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

    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 e...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...

    Text Solution

    |