Home
Class 12
MATHS
Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0)...

Let f(x) =`|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}|` where p is a constant. Then `d^(3)/dx^(3){f(x)}` at x=0 is

A

p

B

`p + p^(2)`

C

`p + p^(3)`

D

Independent of p

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section -B|35 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Section - C ( More than one options are correct )|5 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise Try youself|16 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION - J ( Aakash Challengers Questions )|14 Videos
  • DETERMINANTS

    AAKASH INSTITUTE|Exercise SECTION - J|12 Videos

Similar Questions

Explore conceptually related problems

If f(x)=|{:(x^(3),x^(4),3x^(2)),(1,-6,4),(p,p^(2),p^(3)):}| , where p is a constant, then (d^(3))/(dx^(3))(f(x)) , is

Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|,w h e r ep is a constant. Then (d^3)/(dx^3)(f(x)) at x=0 is (a)p (b) p-p^3 (c)p+p^3 (d) independent of p

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of f'(0) ?

Consider the function f(x)=|{:(x^(3),sinx,cosx),(6,-1,0),(p,p,p^(3)):}| where p is a constant. What is the value of f'(0) ?

Cosider the function f(x)=|{:(x^(3),sin x,cos x),(6,-1,0),(p,p^(2),p^(3)):}| , where p is a constant. What is the value of p for which f''(0) = 0 ?

Consider the function f(x)=|{:(x^(3),sinx,cosx),(6,-1,0),(p,p^2,p^(3)):}| where p is a constant. What is the value of p for which f''(0)=0 ?

Consider the function f(x) = |(x^3,sinx,cosx),(6,-1,0),(p,p^2,p^3)|, where p is constant. What is the value of f'(0) ? What is the value of p for which f''(0)=0

AAKASH INSTITUTE-CONTINUITY AND DIFFERENTIABILITY-Assignment ( section -A)
  1. x=t cost, y=t+sin t. Then (d^2 x)/(dy^2) at t=pi/2 is

    Text Solution

    |

  2. if y = sin 2x , " then " (d^(6)y)/(dx^(6)) " at" x = pi/2 is equal to

    Text Solution

    |

  3. Let f(x) =|{:(x^(3), sinx,cosx),(6,-1,0),(p,p^(2),p^(3)):}| where p is...

    Text Solution

    |

  4. If x=2a t , y=a t^2 , where a is a constant, then find (d^2y)/(dx^2...

    Text Solution

    |

  5. If y = x^(1/x) , the value of (dy)/(dx) at x =e is equal to

    Text Solution

    |

  6. If y = tan^(1-) sqrt((x+1)/(x-1)) " for " |x| gt 1 " then " (dy)/(dx)...

    Text Solution

    |

  7. If y="log"(2)"log"(2)(x), then (dy)/(dx) is equal to

    Text Solution

    |

  8. if f'(x)=sqrt(2x^2-1) and y=f(x^2) then (dy)/(dx) at x=1 is:

    Text Solution

    |

  9. Let the function f(x) be defined as f(x) = {:{((logx-1)/(x-e) , xnee),...

    Text Solution

    |

  10. Rolle's theorem is not applicable to f(x) = |x| in [ -2,2] because

    Text Solution

    |

  11. Lagrange's mean value theorem is not applicable to f(x) in [1,4] where...

    Text Solution

    |

  12. The value of c in Lagrange's mean value theorem for the function f(x) ...

    Text Solution

    |

  13. If f be a function such that f(9)=9 and f'(9)=3, then lim(xto9)(sqrt(f...

    Text Solution

    |

  14. If f(x) = {{:(1/(1+e^(1//x)), x ne 0),(0,x=0):} then f(x) is

    Text Solution

    |

  15. If f(x)=sqrt(1-sqrt(1-x^2) then at x=0

    Text Solution

    |

  16. Domain of differentiable of the function f(x) = |x -2| cos x is

    Text Solution

    |

  17. Let f(x) = (sin (pi [ x + pi]))/(1+[x]^(2)) where [] denotes the great...

    Text Solution

    |

  18. If f(x)=x^2+(x^2)/(1+x^2)+(x^2)/((1+x^2)^2)+ ....oo term then at x=0,f...

    Text Solution

    |

  19. Let f(x)={(|x+1|)/(tan^(- 1)(x+1)), x!=-1 ,1, x!=-1 Then f(x) is

    Text Solution

    |

  20. the value of lim(h to 0) (f(x+h)+f(x-h))/h is equal to

    Text Solution

    |