Home
Class 12
MATHS
Let f,[2,7]rarr[0,oo) be a continuous an...

Let `f,[2,7]rarr[0,oo)` be a continuous and differentiable function, Then the value if `(f(7)-f(2))((f(7))^2+(f(2))^2+f(2)xf(7))/3` is (where `cin(2,7)`)

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

Let f:Rto R be a twice continuously differentiable function such that f(0)=f(1)=f'(0)=0 . Then

Let f(x) be a twice-differentiable function and f"(0)=2. The evaluate: lim_(x->0)(2f(x)-3f(2x)+f(4x))/(x^2)

Let f(x) be a twice-differentiable function and f''(0)=2. Then evaluate lim_(xto0) (2f(x)-3f(2x)+f(4x))/(x^(2)).

If f(x) is differentiable and strictly increasing function, then the value of lim_(xto0)(f(x^2)-f(x))/(f(x)-f(0)) is

Let f(x) be a differentiable function and f'(4)=5 . Then lim_(x to 2) (f(4) -f(x^(2)))/(x-2) equals

Let f[-2,2]rarrR be a continuous function such that f(x) assumes only irrational values. If f(sqrt2)=sqrt2 ,

Let f be twice differentiable function satisfying f(1) = 1, f(2) = 4, f(3) =9 then :

Let f(x) be a differentiable function and f'(4)=5 . Then lim_(xrarr2)(f(4)-f(x^2))/(x-2) equals

Let f:(0,oo)toRR be a differentiable function such that f'(x)=2-(f(x))/(x) for all x in(0,oo) and f(1)ne1 . Then-

Let f: RvecR be a continuous and differentiable function such that (f(x^2+1))^(sqrt(x))=5forAAx in (0,oo), then the value of (f((16+y^2)/(y^2)))^(4/(sqrt(y)))fore a c hy in (0,oo) is equal to 5 (b) 25 (c) 125 (d) 625

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

    Text Solution

    |

  2. Find the value of a if x^3-3x+a=0 has three distinct real roots.

    Text Solution

    |

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

    Text Solution

    |

  4. The curve f(x)=(x^2+a x+b)/(x-10) has a stationary point at (4,1) . Fi...

    Text Solution

    |

  5. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  8. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |