Home
Class 12
MATHS
Find 'c' of the Lagrange's mean value th...

Find 'c' of the Lagrange's mean value theorem for the function `f(x)=3x^2+5x+7` in the interval [1,3]

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    PATHFINDER|Exercise QUESTION BANK|23 Videos

Similar Questions

Explore conceptually related problems

Examine the applicability of lagrange's Mean value theorem for the function f(x) = x^2 + 2 in the interval [2,4]

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

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

Form Lagrange's mean value theorem formula for the function f(x)=sinx in the interval x_(1) le x le x_(2) .

A value of 'c' for which the conclusion of mean value theorem holds for the function f(x) = log_ex on the interval [1,3] is

Verify Lagrange's Mean Value Theorem for the function f(x)=4(6-x)^(2)" in "5 le x le 7

Is Lagrange's mean value theorem applicable to the function f(x)=4(6-x)^((2)/(3)) in the interval 5 le x le 7 ?

Verify the truth of Lagrange's mean value theorem formula for the following functions : f(x)=x^(2)-4x-3 in the interval 0 le x le 4 .

Verify Langrange's mean value theorem for the following functions : f(x)=x+(1)/(x)" in "[1, 3]

Verify Langrange's mean value theorem for the following functions : f(x)=x^(2)+2x+3" in " [4, 6]

PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. If 2a+3b+6c=0 then the equation ax^2+bx+c=0 has in the interval (0,1)

    Text Solution

    |

  2. The value of 'c' of Rolls's throrem is applicable to the function f(x)...

    Text Solution

    |

  3. Find 'c' of the Lagrange's mean value theorem for the function f(x)=3x...

    Text Solution

    |

  4. If A(x1,y1) an B(x2,y2) be two points on the curve y=ax^2+bx+c then La...

    Text Solution

    |

  5. 0 < a < b < ( pi/2​) and f(a,b)= (tanb−tana)/b-a

    Text Solution

    |

  6. Let f,[2,7]rarr[0,oo) be a continuous and differentiable function, The...

    Text Solution

    |

  7. If y=1/(1+x^(n-m)+x^(p-m))+1/(1+x^(m-n)+x^(p-n))+1/(1+x^(m-p)+x^(n-p))...

    Text Solution

    |

  8. If y=|cosx|+|sinx|,then(dy/dx)"at"x=(2pi)/3 is

    Text Solution

    |

  9. The differential coefficient of f(logex) with respect to x, where f(x)...

    Text Solution

    |

  10. If f(x) = cosx. cos2x. Cos4x. Cos8x.cos16x, then f '(pi/4) is :

    Text Solution

    |

  11. If f(x)=log|2x|,x!=0 then f'(x) is equal to

    Text Solution

    |

  12. The derivative of an odd function is always

    Text Solution

    |

  13. If y=1/(1+x+x^2+x^3), then value of (d^2y)/(dx^2)at x=0 is

    Text Solution

    |

  14. The function f(x)=(cosx+isinx)(cos3x+isin3x)...{cos(2n-1)x+isin(2n-1)x...

    Text Solution

    |

  15. If y=sqrt(x+sqrt(y+sqrt(x+sqrty+...oo))) then (dy)/(dx) equal to

    Text Solution

    |

  16. If x^3y^9=(x+y)^k and x(dy)/(dx)=y then k =

    Text Solution

    |

  17. If y=log(3x+5) and (d^2y)/(dx^2)=A/(3x+5)^2 then A =

    Text Solution

    |

  18. Let f be a function satisfying f(x+y)=f(x)+f(y) and f(x)=x^3phi(x) for...

    Text Solution

    |

  19. If y=cos^(-1)cos[2sin^(-1)(cosx)] then (dy)/dx=

    Text Solution

    |

  20. If x^2+y^2=t+1/t and x^4+y^4=t^2+1/t^2 then (dy)/(dx)=

    Text Solution

    |