Home
Class 12
MATHS
Let f(x)={(1, AA, xlt0),(1+sinx, AA, 0le...

Let `f(x)={(1, AA, xlt0),(1+sinx, AA, 0lexlepi//2):}` then what is the value of `f'(x)` at `x=0`?

A

1

B

`-1`

C

`oo`

D

Does not exist

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • LIMITS CONTINUITY AND DIFFERENTIABILITY

    BITSAT GUIDE|Exercise BITSAT Archives |28 Videos

  • INDEFINITE INTEGRAL

    BITSAT GUIDE|Exercise BITSAT Archives |14 Videos

  • LINEAR PROGRAMMING

    BITSAT GUIDE|Exercise BITSAT ARCHIVES|3 Videos

Similar Questions

Explore conceptually related problems

If f(x)={(x-1",",xlt0),(1/4",",x=0),(x^2",",xgt0):} , then

Let f(x) = 2sin^3x-3sin^2+12sinx+5, 0lexlepi/2 Then f(x)is

Let f(x)={{:(x^(2)+4,":",xlt0),(4-2x,":",xge0):} then the area bounded by y=f(x) and the x - axis from x=-1" to "x=3 is equal to

Let f(x)={{:(-x^(2)","," for "xlt0),(x^(2)+8",",xge0):} . Then the absolute value of x-intercept of the line that is tangent to the graph of f(x) is …………

Let f(x)={0AA x<0 and x^(2)AA x<=0 then AA x in R

Let f(x)=sin^(-1){xsqrt(1-x)-sqrt(x(1-x^(2))}}, AA 0le xle1 then f(x) is

BITSAT GUIDE-LIMITS CONTINUITY AND DIFFERENTIABILITY -BITSAT Archives
  1. If f(x) = (log (1+ax)-log (1-bx))/(x) for x ne 0 and f(0) = k and f(x...

    Text Solution

    |

  2. lim(x rarr0) (sin x)/(x)

    Text Solution

    |

  3. lim(x->0)(cos(sinx)-1)/(x^2)

    Text Solution

    |

  4. In order that the function f(x) = (x+1)^(1/x) is continuous at x = 0, ...

    Text Solution

    |

  5. The function f (x ) = |x | at x = 0 is

    Text Solution

    |

  6. lim(x rarr 0) (cosec x )^(1//"log"x) is equal to

    Text Solution

    |

  7. The value of lim(xtooo)((x+6)/(x+1))^(x+4), is

    Text Solution

    |

  8. The set of points where the function f(x) = x |x| is differentiable i...

    Text Solution

    |

  9. lim(x->2)(sqrt(1+sqrt(2+x))-sqrt(3))/(x-2) is equal to

    Text Solution

    |

  10. lim(x rarr 1) (1-x) tan((pi x)/2)

    Text Solution

    |

  11. If f: R rarr R is defined by f(x) = [ x -3] + | x-4| for x in R then...

    Text Solution

    |

  12. If f : R rarr R is defined by f(x) = {{:((cos 3x-cosx )/(x^(2)), "f...

    Text Solution

    |

  13. If f (2) = 4 and f^,(2) =1 then lim(x rarr 2) (x f(2)-2 f(x))/(x -2) ...

    Text Solution

    |

  14. If lim( x rarr oo) [ (x^(3)+1)/(x^(2)+1)- (ax +b)] =2 then

    Text Solution

    |

  15. If f(x) = {{:((1-cosx )/(x) , x ne 0),( x , x=0):} is continuous at x...

    Text Solution

    |

  16. lim( x rarr0) (tanx - sinx )/(x^(3)) is equal to

    Text Solution

    |

  17. If f(x) = {{:((sin 5x)/(x^(2)+2x), x ne0), (k +(1)/(2) , x =0):} is co...

    Text Solution

    |

  18. The value of the constant alpha and beta such that lim(x rarr oo) ((x...

    Text Solution

    |

  19. lim(theta rarr oo) ( 4 theta (tan theta - 2 theta tan theta ))/((1 - c...

    Text Solution

    |

  20. Let f(x)={(1, AA, xlt0),(1+sinx, AA, 0lexlepi//2):} then what is the v...

    Text Solution

    |