Home
Class 11
MATHS
Let h(x) be differentiable for all x and...

Let h(x) be differentiable for all x and let f(x) = `(kx+e^(x)),h(x)` where k is some constant . If h(0) = 5 , h'(0) =- 2 and f'(0) = 18 , then the value of k is

A

5

B

4

C

3

D

`2.2`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (More than One correct answer Type Questions)|8 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - I) (LEVEL - II) (Linked Comprehension Type Questions)|6 Videos
  • DIFFRENTATION

    AAKASH SERIES|Exercise LECTURE SHEET (EXERCISE - I)(INTEGER TYPE QUESTIONS)|14 Videos
  • DIFFERENTIATION

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS |26 Videos
  • DIRECTION COSINES & RATIOS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|36 Videos

Similar Questions

Explore conceptually related problems

Let f be differentiable for all x. If f(1) = -2 and f'(x) ge 2 for all x in [1,6] , then

f:RtoR ,f(x) is differentiable such that f(f(x))=k(x^(5)+x),(kne0) . Then f(x) is always

Suppose f(x) = e^(ax) + e^(hx) , Where a != b , and that f^('')(x) - 2f'(x) - 15f(x) = 0 for all x. Then the value of |ab|//3 is ………..

Let f : R rarr R be a differentiable function satisfying f(x+y)=f(x) + f(y) +x^2y+xy^2 for all real number x and y . If lim_(x rarr 0)(f(x))/x = 1 , then The value of f'(3) is

Let f : R rarr R be a differentiable function satisfying f(x+y)=f(x) + f(y) +x^2y+xy^2 for all real number x and y . If lim_(x rarr 0)(f(x))/x = 1 , then The value of f(9) is

Let f(x) be non-constant differentiable function for all real x and f(x) = f(1-x) Then Roole's theorem is not applicable for f(x) on

Let f be twice differentiable function such that f^11(x) = -f(x) "and " f^1(x) = g(x), h(x) = (f(x))^2 + (g(x))^2) , if h(5) = 11 , then h(10) is

AAKASH SERIES-DIFFRENTATION-PRACTICE SHEET (EXERCISE - I) (LEVEL - I)(Straight Objective Type Questios)
  1. If y = f((3x+4)/(5x+6)) and f^(1)(x) = tanx^2 then (dy)/(dx) is equal...

    Text Solution

    |

  2. If y =a sin x + b cos x , then y^2 + ((dy)/(dx))^2 is a

    Text Solution

    |

  3. Let h(x) be differentiable for all x and let f(x) = (kx+e^(x)),h(x) wh...

    Text Solution

    |

  4. d/(dx){Tan^(-1)((asinx + b cosx)/(acosx-bsinx))} =

    Text Solution

    |

  5. d/(dx)[tanh^(-1)((2x)/(1+x^2))]=

    Text Solution

    |

  6. If g is the inverse of f and f'(x) = 1/(2+x^n) , then g^(1)(x) is equa...

    Text Solution

    |

  7. The derivative of sin^(-1)((2x)/(1+x^2)) with respect to cos^(-1)((1-x...

    Text Solution

    |

  8. If y = Sin ^(-1) (1 - x ^(2))/(1+ x ^(2)) then (dy)/(dX)=

    Text Solution

    |

  9. If y = cos^(-1)((a^(2)-x^(2))/(a^(2)+x^(2)))+sin^(-1)((2ax)/(a^(2)+x^(...

    Text Solution

    |

  10. y = Cot^(-1)[(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-sinx))] ...

    Text Solution

    |

  11. If sin^(-1)((x^2-y^2)/(x^2+y^2)) = loga , then (dy)/(dx) is equal to

    Text Solution

    |

  12. The derivative of Sec ^(-1)"" (1)/( 2x ^(2) -1) w.r.t . sqrt(1+ 3x ) a...

    Text Solution

    |

  13. If r = [ 2 phi +cos^2(2phi+pi//4)]^(1//2) , then what is the value of ...

    Text Solution

    |

  14. If y =cot^(-1) (1-x+x^2) , then (dy)/(dx) =

    Text Solution

    |

  15. f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

    Text Solution

    |

  16. f(x) = Cot^(-1)((x^x-x^(-x))/(2)) then f^(1)(1)=

    Text Solution

    |

  17. If y =(logx)^(x) then (dy)/(dx) =

    Text Solution

    |

  18. If x^(m) y^(n)=(x+y)^(m+n) , then dy/dx is equal to

    Text Solution

    |

  19. If y = 2^(2 ^(x)), then (dy)/(dx) =

    Text Solution

    |

  20. If y = (sinx)^(x) then (dy)/(dx) =

    Text Solution

    |