Home
Class 12
MATHS
If F(x)=|{:(x,x^(2),x^(3)),(1,2x,3x^(2))...

If `F(x)=|{:(x,x^(2),x^(3)),(1,2x,3x^(2)),(0,2,6x):}|` then F'(x) is equal to

A

`6x^(3)`

B

`x^(3)+6x^(2)`

C

3x

D

`6x^(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers |47 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept-based) Single Correct Answer Type Questions |10 Videos

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos

  • DIFFERENTIAL EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|14 Videos

Similar Questions

Explore conceptually related problems

If f(x)= |{:(x,x^(2),x^(3)),(1,2,3),(0,1,x):}| underset(x to1)limf(x) is equal to

112. If f(x)=[[x,x^(2),x^(3)1,2x,3x^(2)0,2,6x]] find f'(x)

If f(x+3)=x^(2)-1, then f(x) is equal to

If f(x+1)=x^(2)-3x+2 then f(x) is equal to

If f(x)=|[3,2,1],[6x^(2),2x^(3),x^(4)],[1,a,a^(2)]| ,then f''(a)= is

Let f(x) =|{:(secx,x^(2),x),(2sinx,x^(3),2x^(2)),(tan3x,x^(2),x):}|lim_(x to 0)f(x)/(x^(4)) is equal to

If f(x)=x^(3)+3x^(2)+3x , then f(x+1) is equal to

If f(x)=(1+x)(3+x^(2))^(1/2)(9+x^(3))^(1/3) then f'(-1) is equal to 0( b) 2sqrt(2)(c)4(d)6

Let f(x+(1)/(x))=x^(2)+(1)/(x^(2)),(x ne 0) then f(x) equals

MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXERCISE (LEVEL 1) Single Correct Answer Type Questions
  1. If x=sin^(-1)(t^(2)-1),y=cos^(-1)(2t) then (dy)/(dx) at t = 0 is

    Text Solution

    |

  2. If tan^(-1)y-y+x=0 then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  3. If F(x)=|{:(x,x^(2),x^(3)),(1,2x,3x^(2)),(0,2,6x):}| then F'(x) is equ...

    Text Solution

    |

  4. If y=(sin^(2)x)/(1+cot x)+(cos^(2)x)/(1+tanx) then y'(x) is equal to

    Text Solution

    |

  5. If z(t)=sqrt(t^(3)+1), then z'(2) is equal to

    Text Solution

    |

  6. If y=cos^(-1)((4cos x-5sinx)/(sqrt(41))), then (dy)/(dx) is equal to

    Text Solution

    |

  7. If y=log cos(tan^(-1)""(e^(x)-e^(-x))/(2)) then y'(0) is equal to

    Text Solution

    |

  8. If the function y=log""(1)/(1+x) satisfies the relation xy'+1=f(y) the...

    Text Solution

    |

  9. If y=(sin^(-1)x)/(sqrt(1-x^(2))) satisfies the relation (1-x^(2))y'-xy...

    Text Solution

    |

  10. If x siny=sin(y+a) and (dy)/(dx)=(A)/(1+x^(2)-2x cos a) then the value...

    Text Solution

    |

  11. If f(x)=cot^(-1)""(3x-x^(3))/(1-3x^(2)) and g(x)=sin^(-1)""^(1-x^(2))/...

    Text Solution

    |

  12. Let f be a function defined for every x, such that f''=-f,f(0)=0,f'(0)...

    Text Solution

    |

  13. If y=sin^(-1)(cos x) and y'(x) is identically equal to g(x) on R~{kp,k...

    Text Solution

    |

  14. If f(x)=cos(x^(2)-4[x]) for 0lt x lt 1, where [x] denotes the greatest...

    Text Solution

    |

  15. If x=a cos 2t,y=b sin^(2)t then (d^(2)y)/(dx^(2)) is equal to

    Text Solution

    |

  16. If f(x)=tan^(-1)sqrt((1+sinx)//(1-sinx)),0le x lt pi//2, then f'(pi//6...

    Text Solution

    |

  17. If 2^(x)+2^(y)=2^(x+y), then the value of (dy)/(dx) at x = y = 1 is

    Text Solution

    |

  18. If t=sin^(-1)2^(8) then (ds)/(dt) is equal to

    Text Solution

    |

  19. Let (x, y) be any point on the unit circle with centre at the origin, ...

    Text Solution

    |

  20. Let f(x) =log sinx^(2),0lt x lt pi//2 then f''(sqrt(pi)//2) is equal t...

    Text Solution

    |