Home
Class 11
MATHS
If f(x)=xtan^(-1)x, then f'(1) is...

If `f(x)=xtan^(-1)x`, then `f'(1)` is

A

`1+pi/4`

B

`1/2+pi/4`

C

`1/2-pi/4`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-A (1 MARK)|6 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS SECTION-B (2 MARKS)|4 Videos

  • DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    SURA PUBLICATION|Exercise EXERCISE 10.4|28 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

  • GOV. MODEL QUESTION PAPER - 1

    SURA PUBLICATION|Exercise Section - IV|11 Videos

Similar Questions

Explore conceptually related problems

If f(x)=xtan^(-1)x , find f^(prime)(sqrt(3)) using the first principle.

If f(x) = x^(2) - x then f(x -1) - f(x + 1) is ............... .

If A=[(1,2),(2,1)] and f(x)=(1+x)/(1-x) , then f(A) is

if f(x) = (x-1)/(x+1) the f(2x ) is

IF f(x) =2x^2 +bx +c and f(0) =3 and f (2) =1, then f(1) is equal to

Let f be a differentiable function such that f(1) = 2 and f'(x) = f (x) for all x in R . If h(x)=f(f(x)), then h'(1) is equal to

IF f(x) = ( x+2)/(3x-1) , then f(f(x)) is

If f'(x) = sqrt(x) and f(1) = 2 then f(x) is :

If f''(x)=12x-6 and f(1)=30, f'(1)=5 find f(x) .

SURA PUBLICATION-DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-EXERCISE 10.5
  1. If y=cos(sinx^(2)), " then " (dy)/(dx) " at " x=sqrt(pi/2) is

    Text Solution

    |

  2. If y=mx+c " and " f(0)=f'(0)=1, " then " f(2) is

    Text Solution

    |

  3. If f(x)=xtan^(-1)x, then f'(1) is

    Text Solution

    |

  4. d/dx(e^(x+5logx))

    Text Solution

    |

  5. If the derivative of (ax-5)e^(3x) at x=0 is -13, then the value of a i...

    Text Solution

    |

  6. x=(1-t^(2))/(1+t^(2)), y=(2t)/(1+t^(2)) " then " (dy)/(dx) is

    Text Solution

    |

  7. If x=asintheta " and " y=bcostheta, " then " (d^(2)y)/(dx^(2)) is

    Text Solution

    |

  8. The differential coefficient of log(10)x with respect to log(x)10 is

    Text Solution

    |

  9. If f(x)=x+2, " then " f'(f(x)) at x=4 is

    Text Solution

    |

  10. If y=(1-x)^(2)/x^(2), " then " (dy)/(dx)= is

    Text Solution

    |

  11. If pv = 81, then (dp)/(dv) at v=9 is

    Text Solution

    |

  12. If f(x) = {{:(x-5, "if" , x le 1),(4x^2-9, "if", 1 lt x lt 2),(3x+4 ,"...

    Text Solution

    |

  13. It is given that f'(a) exists,then lim(xrarra)(xf(a) - af(x))/(x - a) ...

    Text Solution

    |

  14. If f(x) = {{:(x+1, "when" , x lt 2),(2x-1, "when" ,x ge 2):}, then f'(...

    Text Solution

    |

  15. If g(x) = (x^(2)+2x+3), f(x) and f(0)=5 and lim(xrarr0)(f(x)-5)/x = 4 ...

    Text Solution

    |

  16. If f(x)={{:(x+2, -1 lt x lt 3), (5, x=3), (8-x, x gt 3):}, then at x=3...

    Text Solution

    |

  17. The derivative of f(x)=xabs(x) at x=-3 is

    Text Solution

    |

  18. If f(x) = {{:(2a-x, "for",-a lt x lt a),(3x-2a ,"for", x ge a):}, then...

    Text Solution

    |

  19. If f(x)={{:(ax^(2)-b",", -1 lt x lt 1), (1/abs(x)",", "elsewhere"):} i...

    Text Solution

    |

  20. The number of points in R in which the function f(x)=abs(x-1)+abs(x+3)...

    Text Solution

    |