Home
Class 12
MATHS
Let f(x)=(x-3)^5 (x+1)^4 then...

Let `f(x)=(x-3)^5 (x+1)^4` then

A

`x= -1` is point of minima

B

`x= -1` is point of maxima

C

`x= 7//9` is a point of maxima

D

`x= -1` is neither a point of maxima and minima

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( LEVEL-2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|38 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos

  • APPLICATIONS OF DERIVATIVES

    MCGROW HILL PUBLICATION|Exercise Exercise ( CONCEPT - BASED SINGLE CORRECT ANSWER TYPE QUESTIONS)|10 Videos

  • AREA BY INTEGRATION

    MCGROW HILL PUBLICATION|Exercise Question from Previous Years. B-Architecture Entrance Examination Papers|12 Videos

Similar Questions

Explore conceptually related problems

Let f(x)=x^(5)+2x^(3)+3x+4 then the value of 28(d)/(dx)(f^(-1)) at x=-2 is

Let f(x)= (x-2) (x -3) (x-4) (x-5) (x-6) then

Let f(x)=(x)/(x+3) , then f(x+1)=?

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

Let f(x)={x^(2) if 1 4

Let f(x)=((x-1)^(3)(x+2)^(4)(x-3)^(5)(x+6))/(x^(2)(x-7)^(3)) . Solve the following inequality f(x)le0

Let f(x)=((x-1)^(3)(x+2)^(4)(x-3)^(5)(x+6))/(x^(2)(x-7)^(3)) . Solve the following inequality f(x)lt0

MCGROW HILL PUBLICATION-APPLICATIONS OF DERIVATIVES-Exercise ( LEVEL-1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Let f(x) = tan^(-1) x and g(x) = (x)/(1 + x^(2)), x gt 0 then

    Text Solution

    |

  2. Let f(x)= (x-2) (x -3) (x-4) (x-5) (x-6) then

    Text Solution

    |

  3. Let f(x)=(x-3)^5 (x+1)^4 then

    Text Solution

    |

  4. The normal to the curve x=a ( cos theta-thetasintheta), y = a( sinthet...

    Text Solution

    |

  5. The number of values of k for which the equation x^3-3x+k=0 has two di...

    Text Solution

    |

  6. If the sum of the squares of the intercepts on the axes cut off by ...

    Text Solution

    |

  7. If the area of the triangle included between the axes and any tangent ...

    Text Solution

    |

  8. If the tangent at any point on the curve x^4 + y^4 = c^4 cuts off inte...

    Text Solution

    |

  9. The interval of increase of the function y= x-2 sin x " if " 0 le x le...

    Text Solution

    |

  10. All possible value of f(x)=(x+1)^(1/3)-(x-1)^(1/3) on [0,1] is 1 (b) ...

    Text Solution

    |

  11. Let f be a function defined by f(x) = 2x^(2) - log |x|, x ne 0 then

    Text Solution

    |

  12. The shortest distance of (0,0) from the curve y=(e^x+e^(-x))/2 is

    Text Solution

    |

  13. The normal to the circle x^(2) + y^(2) -2x -2y = 0 passing through (2,...

    Text Solution

    |

  14. If f(x ) = x "for" x le 0 =0 "for " x gt 0 then f(x) at x=...

    Text Solution

    |

  15. The value of k so that the equation x^3-12x+k=0 has distinct roots in ...

    Text Solution

    |

  16. Let f(x) = 6x^(4//3) - 3x^(1//3) defined on [-1,1] then

    Text Solution

    |

  17. An equation of tangent line at an inflection point of f(x) = x^(4) - 6...

    Text Solution

    |

  18. The number of real roots of the equation 2x^(3) -3x^(2) + 6x + 6 = 0 i...

    Text Solution

    |

  19. Let f(x) =(x -2) (x^(4) -4x^(3) + 6x^(2) - 4x +1) then value of local ...

    Text Solution

    |

  20. Let f(x) = x^(2) -2|x| + 2, x in [-1//2, 3//2] then

    Text Solution

    |