Home
Class 12
MATHS
Suppose f(x) = x(x+3)(x-2), x in [-1, 4]...

Suppose `f(x) = x(x+3)(x-2), x in [-1, 4]`. Then a value of c in (-1, 4) satisfying `f'(c ) = 10` is

A

2

B

`(5)/(2)`

C

3

D

`(7)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos
  • EAMCET - 2016 TS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos

Similar Questions

Explore conceptually related problems

If f(x) = x^(2) - 2x + 4 then the set of values of x satisfying f(x - 1) = f(x + 1) is

For the function f(x) = (x-1) ( x-2) ( x-3) in [0,4], value of 'c' in Lagrange's mean value theorem is

The value of 3 f(x ) - 2 f(1/x)=x then f^(1)(2) =

For the function f(x) = (x-1) (x-2) difined on [0,(1)/(2)] , the value of c satisfying Lagrange's mean value theorem is

Let f(x)=(x-1)(x-2)(x-3) then prove that there is more than one 'c' in (1,3) such that f'(c )=0

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

Let f(x ) = (x - 1)(x - 2)(x -3). Prove that there is more than one ‘c’ in (1,3) such that f ’(c) = 0

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

DIPTI PUBLICATION ( AP EAMET)-EAMCET - 2016 AP-Questions
  1. If a line makes angles alpha,beta,lambda,delta with the 4 diagonals of...

    Text Solution

    |

  2. If the plane 56x + 4y + 9z = 2016 meets the coordinates axes in A, B ,...

    Text Solution

    |

  3. The value (s) of x for which the function f(x) = {{:(1 -x " , " x ...

    Text Solution

    |

  4. Lt(x rarr 0)(6^(x) - 3^(x) - 2^(x)+1)/(x^(2)) =

    Text Solution

    |

  5. Define f(x) = {{:(x^(2)+bx+c , ",",x lt 1),(x,",",x ge 1):}. If f(x) i...

    Text Solution

    |

  6. If x = a is a root of multiplicity two of a polynomial equation f(x) =...

    Text Solution

    |

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

    Text Solution

    |

  8. The angle of intersection between the curves y^(2) + x^(2) = a^(2) sqr...

    Text Solution

    |

  9. If A gt 0, B gt 0 and A+B=(pi)/(3), then the maximum value of tan A ta...

    Text Solution

    |

  10. The equation of the common tangent drawn to the curves y^(2) = 8x and ...

    Text Solution

    |

  11. Suppose f(x) = x(x+3)(x-2), x in [-1, 4]. Then a value of c in (-1, 4)...

    Text Solution

    |

  12. If int x^(3)e^(5x)dx-(e^(5x))/(5^(4))(f(x))+0(3) then f(x)=

    Text Solution

    |

  13. int (x)/((x^(2)+2x+2)^(2))dx=

    Text Solution

    |

  14. If int log (a^(2)+x^(2))dx=h(x)+c, then h(x)=

    Text Solution

    |

  15. For x gt 0, if int(logx)^(5)dx=x(A(logx)^(5)+B(logx)^(4)+C(logx)^(3)+D...

    Text Solution

    |

  16. The area included between the parabola y=(x^(2))/(4a) and the curve y=...

    Text Solution

    |

  17. By the definition of the definite integral, the value of lim(n rarr oo...

    Text Solution

    |

  18. int(-pi//4)^(pi//4)((x+pi//4)/(2-cos2x))dx=

    Text Solution

    |

  19. The solution of the differential equation (1 + y^(2)) + (x- e^(Tan^(-1...

    Text Solution

    |

  20. The solution of the different equation (2x - 4y + 3)(dy)/(dx) + (x - 2...

    Text Solution

    |