Home
Class 12
MATHS
If the function g(X) ={{:( ksqrt ( x+1...

If the function `g(X) ={{:( ksqrt ( x+1), 0 le x le 3),( mx+2, 3 lt x le 5):}`is differentiable , then the value of K+ m is

A

2

B

`(16)/(5)`

C

`(10)/(3)`

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise EXERCISE 7|1 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise Complex Number Exercise 8|2 Videos
  • COORDINATE SYSTEM AND COORDINATES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

Similar Questions

Explore conceptually related problems

If the function g(x)={{:(,k sqrt(x+1),0 le x le3),(,mx+2,3lt xle5):} is differentiable, then the value of k+m is

Given f(x)={(x^2 xx e^(2(x-1)), 0 le x le 1), (acos(2x-2)+bx^2, 1 lt x le2):} is differentiable at x=1 , then the value of |a - b| is

If f (x)= {{:(1+x, 0 le x le 2),( 3x-2, 2 lt x le 3):}, then f (f(x)) is not differentiable at:

The function f(x)= {(5x-4 ", " 0 lt x le 1 ),( 4x^3-3x", " 1 lt x lt 2):}

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof) (x).

If f(x) = {{:( 3x ^(2) + 12 x - 1",", - 1 le x le 2), (37- x",", 2 lt x le 3):}, then

If f(x) = {{:((sqrt(4+ax)-sqrt(4-ax))/x,-1 le x lt 0),((3x+2)/(x-8), 0 le x le 1):} continuous in [-1,1] , then the value of a is

Show that the function f (x)={ {:(3x^(2) + 12 x - 1,- 1 le x le 2 ),(" "37 - x," "2 lt x le 3 ):} is continuous at x = 2

Let for function f (x)= [{:(cos ^(-1)x ,,, -1 le x le 0),( mx +c ,,, 0 lt x le 1):}, Lagrange's mean value theorem is applicable in [-1,1] then ordered pair (m,c ) is:

ARIHANT MATHS ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
  1. about to only mathematics

    Text Solution

    |

  2. Let f: R to R and g:R to R be respectively given by f(x) =|x|+1 and g...

    Text Solution

    |

  3. Let f(x)={x^2|(cos)pi/x|, x!=0 and 0,x=0,x in RR, then f is

    Text Solution

    |

  4. Q. For every integer n, leta(n) and b(n) be real numbers. Let functio...

    Text Solution

    |

  5. Let f:R->R be a function such that f(x+y)=f(x)+f(y),AA x, y in R.

    Text Solution

    |

  6. if f(x) ={{:(-x=(pi)/(2),xle -(pi)/(2)),(- cos x, -(pi)/(2)lt x ,le 0...

    Text Solution

    |

  7. For the function f(x)=x cos ""1/x, x ge 1 which one of the following i...

    Text Solution

    |

  8. Let g(x)=((x-1)^(n))/(logcos^(m)(x-1)),0ltxlt2 m and n integers, m ne0...

    Text Solution

    |

  9. Let fandg be real valued functions defined on interval (-1,1) such tha...

    Text Solution

    |

  10. In the following, [x] denotes the greatest integer less than or equal ...

    Text Solution

    |

  11. Check the differentiability if f(x) = min. {1, x^(2), x^(3)}.

    Text Solution

    |

  12. Let f(x) = ||x|-1|, then points where, f(x) is not differentiable is/a...

    Text Solution

    |

  13. lf is a differentiable function satisfying f(1/n)=0,AA n>=1,n in I, th...

    Text Solution

    |

  14. The domain of the derivative of the function f(x)={{:(tan^(-1)x ,if|x|...

    Text Solution

    |

  15. The left hand derivative of f(x)=[x]sin(pix) at x = k, k in Z, is

    Text Solution

    |

  16. Which of the following functions is differentiable at x = 0?

    Text Solution

    |

  17. For x in R, f(x) =|log(e) 2-sinx| and g(x) = f(f(x)) , then

    Text Solution

    |

  18. If the function g(X) ={{:( ksqrt ( x+1), 0 le x le 3),( mx+2, 3 lt x...

    Text Solution

    |

  19. If f and g are differentiable functions in [0, 1] satisfying f(0)""=""...

    Text Solution

    |

  20. The function f(x) = [x] cos((2x-1)/2) pi where [ ] denotes the greate...

    Text Solution

    |