Home
Class 12
MATHS
If f(x) = (x-1)(x-2)(x-3), then f^(')(0)...

If f(x) = (x-1)(x-2)(x-3), then `f^(')(0) =`

A

(5/4)

B

(4/5)

C

1

D

0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|206 Videos

  • ELLIPSE

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|172 Videos

Similar Questions

Explore conceptually related problems

If f(x) = (x-1)/(x+1) , then f[1/f(x)] =

Let f(x) = ( 2x+1)/(1-3x) , then f^-1 (x) =

If f(x) = (x-3)/(x+1) , then f[f{f(x)}] =

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

If 2f(x) = f^(')(x) and f(0) = 3, then f(2) =

Let f(x) be a polynomial function such that f(x). f(1/x) = f(x) + f(1/x). If f(4) = 65, then f^(')(x) =

Let f(x+y) = f(x).f(y), forall, x, y . Suppose f(5) =2, f^(')(0) = 3 then f^(')(5) =

If the function f(x)= x^(3)+e^(x/2) and g(x) = f^(-1)(x) then the value of g^(')(1) is

If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1/x) and f(3)=28, then f(2) is

HIMALAYA PUBLICATION-DIFFERENTIATION-QUESTION BANK
  1. Let f(x) = x-[x], x in R then f^(')(1/2) is

    Text Solution

    |

  2. If y = sqrtx + 1/x then dy/dx at x = 1 is

    Text Solution

    |

  3. If f(x) = (x-1)(x-2)(x-3), then f^(')(0) =

    Text Solution

    |

  4. If y = (1+1/x^(2))/(1-1/x^(2)) then dy/dx is

    Text Solution

    |

  5. If y = ((sin x + cos x)/(sin x - cos x)) then dy/dx at x = 0 is

    Text Solution

    |

  6. If y=("sin(x+9))/(cosx), then (dy)/(dx) at x=0 is :

    Text Solution

    |

  7. If f(x) = 1+x + x^(2)/2 + …. + x^(100)/100, then f^(')(1) is equal to

    Text Solution

    |

  8. If f(x)=(x^(n)-a^(n))/(x-a) for some constant 'a', then f'(a) is :

    Text Solution

    |

  9. If f(x) = x^(100) + x^(99) + ….+x + 1, then f^(')(1) is equal to

    Text Solution

    |

  10. If f(x) = 1-x + x^(2) - x^(3) + …. - x^(99) + x^(100), then f^(')(1) i...

    Text Solution

    |

  11. Differential coefficient of sec(tan^(-1) x) is

    Text Solution

    |

  12. If u=sin^(-1)((2x)/(1+x^(2))) and v=tan^(-1)((2x)/(1-x^(2))), then (du...

    Text Solution

    |

  13. The set of points where the function f given by f(x) = |x-3| cos x is ...

    Text Solution

    |

  14. The set of points where the function f given by f(x) = |2x-1|sin x is ...

    Text Solution

    |

  15. The function f(x) = e^(|x|) is

    Text Solution

    |

  16. Let f(x) = |sin x|. Then

    Text Solution

    |

  17. If y= log ((1-x^(2))/(1+ x^(2))), then (dy)/(dx) is equal to

    Text Solution

    |

  18. If y = sqrt(sinx + y) then dy/dx is equal to

    Text Solution

    |

  19. The derivative of cos^(-1)(2x^(2)-1) w.r.t cos^(-1) x is

    Text Solution

    |

  20. If x = t^(2), y = t^(3) then (d^(2)y)/(dx^(2)) is

    Text Solution

    |