Home
Class 11
MATHS
If at x = t, the derivative of f(x) is f...

If at x = t, the derivative of f(x) is f’(t) then.the value of`lim_(xtot) (xf(t)-tf(x))/(x-t)`is

A

a) `tf(t)-f'(t)`

B

b) `f(t)-tf'(t)`

C

c) `f(t)+tf(t)`

D

d) `tf'(t)-f(t)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 4

    UNITED BOOK HOUSE|Exercise EXERCISE|47 Videos

  • MODEL QUESTION PAPERS-SET 6

    UNITED BOOK HOUSE|Exercise EXERCISE|47 Videos

Similar Questions

Explore conceptually related problems

If the derivatives of f(x) at x=a is f'(a) ,then show that lim_(xrarra)(xf(a)-af(x))/(x-a)=f(a)-af'(a)

If the derivative of f(x) at x = a be f'(a) show that lim_(x to a ) (xf(a)-af(x))/(x-a) = f(a) -af'(a) .

If f'(c) is the -derivative of f(x) at x= c,then show that lim_(xrarrc)(xf(c)-cf(x))/(x-c)=f(c)-cf'(c)

If f(x)=1+1/x int_1^x f(t) dt, then the value of f(e^-1) is

Find the derivatives w.r.t. x : {f(x)}^(n)

Let f:R to R be a differentiable function and f(1)=4 and f'(1)=2 , then the value of lim_(x to 1) int_(4)^(f(x))(2t)/(x-1)dt is -

If int_0^xf(t) dt=x+int_x^1 tf(t)dt, then the value of f(1)

Find the derivatives w.r.t. x : sin{f(x)}

Evaluate (lim)_(x to 4)int_4^x((4t-f(t)))/((x-4))dt

if int_0^(x^2(1+x))f(t)dt=x then the value of 10f(2) must be

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 5-EXERCISE
  1. Number of tangents of x^2 + y^2 - 25 = 0 on (4, +-3) are

    Text Solution

    |

  2. value oflim(xrarr0)(cosx-1)/x^2is

    Text Solution

    |

  3. If at x = t, the derivative of f(x) is f’(t) then.the value oflim(xtot...

    Text Solution

    |

  4. If the odds in favour of an event are 7 :1, then the probability of oc...

    Text Solution

    |

  5. Mode of .2, 7, 5, 3, 7, 1, 6, 9, 7, 3, 6, 3 is

    Text Solution

    |

  6. For any two sets A and B, Prove that A cup (Acap B) = A.

    Text Solution

    |

  7. Show that f(x) = log [x + sqrt(1 + x^2)] is a odd function.

    Text Solution

    |

  8. If tan 26^@ and tan 19^@ are the roots of the equation ax^2 - bx -f c ...

    Text Solution

    |

  9. If tan15^@=x.then show that x^2+2sqrt3x-1=0

    Text Solution

    |

  10. In a quadratic equation of the form ax^2 + bx + c = 6 the co-efficient...

    Text Solution

    |

  11. Show that. sqrt i+sqrt-i=sqrt2

    Text Solution

    |

  12. Prove that by using the principle of mathematical induction for all n...

    Text Solution

    |

  13. In a n sided polygon joining by straight line all the angular points. ...

    Text Solution

    |

  14. Find the equation of a straight line passes through (-3, 10) and the l...

    Text Solution

    |

  15. Find the ratio in which the straight line 3x + y = 9 divides the line ...

    Text Solution

    |

  16. Prove that: lim(xrarr0)tanx/x=1

    Text Solution

    |

  17. If.y = tan^-1 (sec x + tan x), show that ,dy/dx=1/2 .

    Text Solution

    |

  18. A and B are two independent event. It P(A) = 1/2 and P(A cup B)=2/3,fi...

    Text Solution

    |

  19. Find the mean deviation with respect ' to mean value :18,22,33,42,53,...

    Text Solution

    |

  20. Find the HCF of 15, 40, 60 with the help of set theory

    Text Solution

    |