Home
Class 12
MATHS
If y=f{f(x)} , f(0) =0 and f'(0)=5, then...

If `y=f{f(x)} , f(0) =0 and f'(0)=5,` then the value of `[(dy)/(dx)]_(x=0)` is-

A

0

B

5

C

10

D

25

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos
  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 8|90 Videos
  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos
  • Measures of Central Tendency

    CHHAYA PUBLICATION|Exercise Exercise 2 C Very short answer type question|18 Videos

Similar Questions

Explore conceptually related problems

if f(x)=mx+c and f(0)=f'(0)=1 then find the value of f(3)

Let x=f(t) and y=g(t), where x and y are twice differentiable function. If f'(0)= g'(0) =f''(0) = 2. g''(0) = 6, then the value of ((d^(2)y)/(dx^(2)))_(t=0) is equal to

If f(x + y) = f(x) +f(y), then the value of f(0)

If for all values of x and y , f(x+y) =f(x) f(y) and f(5) =2, f'(0)=3, then the value of f'(5) is-

if y=f{f(x)},f(0)=0and f'(0)=5 find [dy/dx]_(x=0)

For all values ofx and y,jf f(x + y) = f(x).f(y), f(5)= 2 and f'(0)=3, the value of f'(5) is

Let f(x+y)=f(x)f(y)AA x, in IR, f(6)=5 and f'(0)=1 . Then the value of f' (6) is

Let f:RrarrR be differentiable at x=0 . If f(0)=0 and f'(0)=2 ,then the value of lim_(xrarr0)1/x[f(x)+f(2x)+f(3x)+.....+f(2015x)] is

If f(x) = int(5x^(8)+7x^(6))/((x^(2)+1+2x^(7))^(2))dx, (x ge 0) , and f(0) = 0, then the value of f(1) is

Let f RR rarr RR be differentiable at x = 0 . If f(0) = 0 and f'(0) = 2, then the value of underset(x rarr 0)lim (1)/(x)[f(x) + f(2x) + f(3x)+…+f(2015x)] is

CHHAYA PUBLICATION-MCQ's-QUESTION PAPER 6
  1. If phi is the empty set then which one of the following is correct ?

    Text Solution

    |

  2. Let f (x)= [x] where [x] denotes the greatest integer contained in x. ...

    Text Solution

    |

  3. Let A, B, C be any three non-empty sets. If A uuB= A uuC, then which o...

    Text Solution

    |

  4. Suppose S and S' are foci of the dllipse (x^(2))/(25) + (y^(2))/(16) =...

    Text Solution

    |

  5. In a class containing 120 students, 65 students dring tea and 84 stude...

    Text Solution

    |

  6. The number of elements in the set {(a,b), 2a^(2) +3b^(2) =35, a, b, in...

    Text Solution

    |

  7. Which one of the following is correct for the graph of y=|x| ?

    Text Solution

    |

  8. The value of lim (hto0) 1/h[(1)/(""^(3)sqrt(8+h))-1/2] is-

    Text Solution

    |

  9. If f, RR to RR is defined by f (x) ={{:((x-2)/(x ^(2) -3x+2)"," ,"when...

    Text Solution

    |

  10. If f(x) =lx ^(2) +mx+n, then the value of (f(x+3) -f(x))/(f(x+2)-f(x+1...

    Text Solution

    |

  11. If n is any integer, then all the points at which the function f (x) =...

    Text Solution

    |

  12. If f (x) ={{:(x",", "when " 0 lt x lt 1),(2-x",", "when" 1 lt x le 2):...

    Text Solution

    |

  13. If the function f (x) is differentiable at x=h, then the value of lim(...

    Text Solution

    |

  14. If y= cot ^(-1)""(b-ax)/(a+bx), then the value of (dy)/(dx) is-

    Text Solution

    |

  15. If l(x) is the least interger not less than x and g(x) is the greatest...

    Text Solution

    |

  16. If f (2x+3) =sin x+2^(x), then the value of f (4m-2n+3) is-

    Text Solution

    |

  17. Let f (x) {{:((sin 5x)/(x ^(2) +2x)",", "when" x ne0),(k +1/2",","when...

    Text Solution

    |

  18. If f (x) =(alphax)/(x+1) (x ne -1), then the value of alpha for which ...

    Text Solution

    |

  19. The deerivative of y=(1-x) (2-x) ..(n-x) at x=1 is equal to-

    Text Solution

    |

  20. If y=f{f(x)} , f(0) =0 and f'(0)=5, then the value of [(dy)/(dx)](x=0)...

    Text Solution

    |