Home
Class 12
MATHS
y= e^(3x + 7) " then " y(n) (0)=…….....

`y= e^(3x + 7) " then " y_(n) (0)=`……..

A

1

B

`3^(n)`

C

`3^(n) e^(7)`

D

`3^(n).(e^(7) .7)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Textbook Illustrations for Practice Work|96 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise NCERT Exemplar Problems and Solution (Short Answer Type Questions)|156 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    KUMAR PRAKASHAN|Exercise Miscellaneous Exercise - 5|46 Videos
  • BOARD'S QUESTION PAPER MARCH - 2020

    KUMAR PRAKASHAN|Exercise PART - B (Section - C)|4 Videos
  • DETERMINANTS

    KUMAR PRAKASHAN|Exercise Practice Paper-4 (Section-D)|2 Videos

Similar Questions

Explore conceptually related problems

If e^x + e^y = e^(x+y) then (dy )/( dx) =……..

y=a^(x) , then y_(n)= . . . . . . . . . . . ,agt0, x in R .

e^(x) + e^(y) = e^(x+ y) then prove that, (dy)/(dx) + (e^(x) (e^(y)-1))/(e^(y) (e^(x)-1))=0

If the standard deviation of variable x is 4 and y = (3x + 7)/(4) then the standard deviation of variable y is

Solve the differential equation y e^(x/y) dx = (x e^(x/y) + y^(2))dy ( y ne 0) .

Find first derivative of y w.r.t. x. (i) y=e^(-x) , (ii) y=4 sin 3x , (iii) y=4e^(x^(2)-2x)

Let y_(n)(x) = x^(2) + (x^(2))/(1+x^(2))+(x^(2))/((1+x^(2))^(2))+......(x^(2))/((1+x^(2))^(n-1))and y(x) = lim_(n rarr oo) y_(n) (x) . Discuss the continuity of y_(n)(x)(n = 1, 2, 3....n) and y(x) "at x" = 0

Find dervatives of the following functions: (i) y=2x^(3) , (ii) y=4/x , (iii) y=3e^(x) , (iv) y=6 ln x , (v) y=5 sin x

If y= 500 e^(7x) + 600 e^(-7x) , show that (d^(2)y)/(dx^(2))= 49y

If x ,y >0,(log)_y x+(log)_x y=(10)/3 and x y=144 , then (x+y)/2=sqrt(N) where N is a natural number, find the value of N .

KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
  1. u= f (tan x), v= g(sec x), f'(1) =2 and g'(sqrt2)= 4 " then " (du)/(d...

    Text Solution

    |

  2. f(x)= sin^(2)x + sin^(2) (x + (pi)/(3)) + cos x cos (x + (pi)/(3)) the...

    Text Solution

    |

  3. y= e^(3x + 7) " then " y(n) (0)=……..

    Text Solution

    |

  4. x= f(t), y= phi (t) then (d^(2)y)/(dx^(2))= ……..

    Text Solution

    |

  5. In the function f(x)= 2x^(3) + bx^(2) + qx satisfies conditions of Rol...

    Text Solution

    |

  6. If y= (a + bx)/(c + dx), where a, b, c, d are constants and lamda y(1)...

    Text Solution

    |

  7. The function f(x)= (2- root(4)(x^(2) +16))/(cos 2x-1) is continuous at...

    Text Solution

    |

  8. Let f(x)= x^(3)-x^(2) + x + 1 g(x) = {max (f(t)), 0 le t le x}, 0 le x...

    Text Solution

    |

  9. f(x)= |(sin x,cos x),(tan x,cot x)| then f'((pi)/(4))= …….

    Text Solution

    |

  10. x= t^(2) + 3t- 8,y= 2t^(2) -2t- 4. If at point (2, -1), lamda = (dy)/(...

    Text Solution

    |

  11. x=2 + t^(3), y= 2t^(2). If ((d^(2)y)/(dx^(2)))/(((dy)/(dx))^(n)) is co...

    Text Solution

    |

  12. If F(x) = (1)/(x^(2)) underset(4)overset(x)int (4t^(2)- 2F'(t))dt then...

    Text Solution

    |

  13. If sqrt(x^(2) + y^(2))=a. e^(tan^(-1)((y)/(x))), a gt 0 then the value...

    Text Solution

    |

  14. If f(x-y), f(x).f(y) and f(x+ y) are in arithmatic progression and f(0...

    Text Solution

    |

  15. [(d)/(dx) sec^(-1)x](x = -3)=…….

    Text Solution

    |

  16. (d)/(dx) (x^(x))= ….(x gt 0)

    Text Solution

    |

  17. (d)/(dx) (sin^(-1)x + cos^(-1) x)=……..(|x| lt 1)

    Text Solution

    |

  18. (d)/(dx) (a^(a))= ……(a gt 0)

    Text Solution

    |

  19. (d)/(dx) (e^(5x))= …….

    Text Solution

    |

  20. (d)/(dx) (log |x|)= ……..(x ne 0)

    Text Solution

    |