Home
Class 12
MATHS
Consider the function f(x)=8x^2-7x+5 on...

Consider the function `f(x)=8x^2-7x+5` on the interval `[-6,6]` .the value of c that satisfies the condition of the mean value theorem is

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos
  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

Maximum value of the function f(x)=x/8+2/x on the interval [1,6] is

Verify Rolle's theorem for the functions f(x)=x^(3)-4x in the interval -2 le x le 2

Maximum value of function f(x)=(x)/(8)+(2)/(x) on the interval [1, 6] is-

For the function f(x) = 2x^3-8x^2+10x+5 , find the interval (s) in which f(x) is increasing

For the function f(x) = 2x^3-8x^2+10x+5 , find the interval (s) in which f(x) is decreasing

Verify Mean Value Theorem for the function f(x)= x^(2) in the interval [2, 4].

If f is even function defined on the interval (-5, 5), then real values of x satisfying the equation f(x)=f((x+1)/(x+2)) are

If f(x)=Ax^(2)+Bx+C and A ne 0 then find the value of theta in Lagrange's mean value theorem, f(x+h)=f(x)+h f'(x+theta h) .

if f(x)=x^2-6 then value of f'(6) is

The value of c in Lagrange's theorem for the function f(x)=|x| in the interval [-1,1] is

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

    Text Solution

    |

  2. Let f(x) be defined as f(x)={tan^(-1)alpha-5x^2,0ltxlt1 and -6x ,xge...

    Text Solution

    |

  3. Consider the function f(x)=8x^2-7x+5 on the interval [-6,6] .the valu...

    Text Solution

    |

  4. Let f(x)={x^3-x^2+10 x-5,xlt=1, \ -2x+(log)2(b^2-2),x >1 Find the val...

    Text Solution

    |

  5. Using lagrange's mean value theorem, show that (beta-alpha)/(1+beta^2...

    Text Solution

    |

  6. Find the minimum value of |x-1|+|x-2|+|x-3|

    Text Solution

    |

  7. Let f(x)a n dg(x) be two differentiable functions in R a n d f(2)=8,g(...

    Text Solution

    |

  8. Discuss the extremum of f(x)={x^2+x^-2}

    Text Solution

    |

  9. Using Lagranges mean value theorem, prove that |cosa-cosb|<=|a-b|dot

    Text Solution

    |

  10. Find the maximum value and the minimum value of 3x^4-8x^3+12 x^2-48 x+...

    Text Solution

    |

  11. Find the value of the x^2+7xy+y^2, when x=-2, y=-5

    Text Solution

    |

  12. Discuss the global maxima and global minima of f(x)=tan^(-1) x- (log)e...

    Text Solution

    |

  13. Suppose alpha,beta a n d theta are angles satisfying 0 < alpha < thet...

    Text Solution

    |

  14. Find the range of the function f(x)=2sqrt(x-2)+sqrt(4-x)

    Text Solution

    |

  15. Let f be continuous on [a , b],a >0,a n d differentiable on (a , b)dot...

    Text Solution

    |

  16. Discuss the extremum of f(x)=2x^3-3x^2-12 x+5 for x in [-2,4] and the ...

    Text Solution

    |

  17. Two men Pa n dQ start with velocity u at the same time from the juncti...

    Text Solution

    |

  18. Discuss the extremum of f(x)=1+2sinx+3 cos^2x ,0lt=xlt=(2pi)/3

    Text Solution

    |

  19. x and y are the sides of two squares such that y=x-x^2 Find the rate o...

    Text Solution

    |

  20. Discuss the extremum of f(x)=sinx+1/2sin2x+1/3sin3x ,0lt=xlt=pidot

    Text Solution

    |