Home
Class 12
MATHS
Let f (x) =|2x-9|+|2x+9|. Which of the f...

Let `f (x) =|2x-9|+|2x+9|.` Which of the following are true ?

A

f (x) is not differerntiable at `x=9/2`

B

f (x) is not differentiable at `x = (-9)/(2)`

C

f (x) is differentiable at `x=0`

D

f (x) is differentiable at `x = (-9)/(2), 0, (9)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|32 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (MATHCING TYPE PROBLEMS)|1 Videos

  • CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|23 Videos

  • COMPOUND ANGLES

    VIKAS GUPTA (BLACK BOOK)|Exercise Exercise-5 : Subjective Type Problems|31 Videos

  • DETERMINANTS

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE-4 : SUBJECTIVE TYPE PROBLEMS|12 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=|2x-9|+|2x|+|2x+9| . Which of the following are true?

Let f(x)=x^(2)-3x+4;x =3 Let g(x)=x+6;x =4 then which of the following are true

Let f(x)=x^(12)-x^(9)+x^(4)-x+1 . Which of the following is true ?

If 4<=x<=9 then which of the following is true

.If 4<=x<=9 then which of the following is true?

For the lines 2x+5y =7 and 2x - 5y =9, which of the following statemetn is true ?

For the circle x ^(2) + y^(2) + 6x -8y +9=0, which of the following statement is true ?

Let E be the ellipse x^(2)/9+y^(2)/4=1" and C be the circle "x^(2)+y^(2)=9. Let P = (1, 2) and Q = (2, 1). Which one of the following is correct?

Let f(x)=cos^(-1)((1-tan^(2)(x)/(2))/(1+tan^(2)(x)/(2))) . Then which of the following statement is/are true ?

VIKAS GUPTA (BLACK BOOK)-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
  1. Let f (x) =[x] and g (x) =0 when x is an integer and g (x) =x ^(2) whe...

    Text Solution

    |

  2. Let f:RtoR is given by f(x)={(p+qx+x^(2),xlt2),(2px+3qx^(2),xge2):} t...

    Text Solution

    |

  3. Let f (x) =|2x-9|+|2x+9|. Which of the following are true ?

    Text Solution

    |

  4. Let f (x)= max (x,x ^(2) x ^(3)) in -2 le x le 2. Then:

    Text Solution

    |

  5. Let f(x) be a differentiable function satisfying f(y)f(x/y)=f(x) AA, x...

    Text Solution

    |

  6. Let f(x) =(x^(2)-3x+ 2) (x ^(2) + 3x +2) and alpha, beta, gamma satisf...

    Text Solution

    |

  7. Let f:RtoR is given by f(x)={(p+qx+x^(2),xlt2),(2px+3qx^(2),xge2):} t...

    Text Solution

    |

  8. If y =e ^(x sin (x ^(3)))+(tan x)^(x) then (dy)/(dx) may be equal to:

    Text Solution

    |

  9. Let f(x)=x+(1-x)x^3+(1-x)(1-x^2)x^3+.........+(1-x)(1-x^2)........(1-x...

    Text Solution

    |

  10. Let f (x)= [{:(x ^(2)+a,0 le x lt 1),( 2x+b,1le x le 2):}and g (x)=[{:...

    Text Solution

    |

  11. If f (x)= [{:((sin [x^(2)]pi)/(x ^(2)-3x+8)+ax ^(3)+b,,, 0 le x le 1),...

    Text Solution

    |

  12. If f (x)= {{:(1+x, 0 le x le 2),( 3x-2, 2 lt x le 3):}, then f (f(x)) ...

    Text Solution

    |

  13. Let f (x)=(x+1) (x+2) (x+3)…..(x+100) and g (x) =f (x) f''(x) -f ('(x)...

    Text Solution

    |

  14. Let f(x)={{:(,|x|-3,x lt 1),(,|x-2|+a,x ge 1):} g(x)={{:(,2-|x|,x lt...

    Text Solution

    |

  15. Let f (x) be a continous function in [-1,1] such that f (x)= [{:((ln...

    Text Solution

    |

  16. f (x) is differentiable function satisfying the relationship f ^(2) (x...

    Text Solution

    |

  17. The function f (x)=[sqrt(1-sqrt(1-x ^(2)))],(where [.] denotes greates...

    Text Solution

    |

  18. A function f(x) satisfies the relation f(x+y) = f(x) + f(y) + xy(x+y),...

    Text Solution

    |

  19. The points of discontinuities of f (x)= [(6x)/(pi)]cos [(3x)/(pi)]"in"...

    Text Solution

    |

  20. If f(x)={{:(,(x^(2))/(2),0 le x lt 1),(,2x^(2)-3x+(3)/(2),1 le x le 2)...

    Text Solution

    |