Home
Class 12
MATHS
If y=x+e^x , find (d^2x)/(dy^2) ....

If `y=x+e^x` , find `(d^2x)/(dy^2)` .

A

`e^(x)`

B

`-(e^(x))/((1+e^(x))^(3))`

C

`-(e^(x))/((1+e^(x))^(2))`

D

`(1)/((1+e^(x))^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • DIFFERENTIATION

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|92 Videos

  • DIFFERENTIALS, ERRORS AND APPROXIMATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|17 Videos

  • ELLIPSE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|29 Videos

Similar Questions

Explore conceptually related problems

If y=x e^x , find dy/dx

If y=x+e^x, then (d^2x)/(dy^2) is (a) e^x (b) - e^x/((1+e^x)^3) (c) -e^x/((1+e^x)^3) (d) (-1)/((1+e^x)^3)

If y=x+e ^(x), then ((d^(2)y)/(dy ^(2)))_(x = ln 2) is :

If y=x^x , find (dy)/(dx) at x=e .

If x y=e^(x-y) , find (dy)/(dx) .

"If "y= sin x +e^(x)," then "(d^(2)x)/(dy^(2))=

4.If y = e^(-x^2), find dy/dx

If (x+y)^2=2a x y , find (dy)/(dx)

If (x^2+y^2)^2=x y , find (dy)/(dx)

If (x^2+y^2)^2=x y , find (dy)/(dx)

OBJECTIVE RD SHARMA ENGLISH-DIFFERENTIATION-Exercise
  1. If y=sin^(-1)(x/2)+cos^(-1)(x/2) then (dy)/(dx)=

    Text Solution

    |

  2. If y=cos^(-1)((2cosx-3sinx)/(sqrt(13))), then (dy)/(dx), is

    Text Solution

    |

  3. If y=x+e^x , find (d^2x)/(dy^2) .

    Text Solution

    |

  4. Given that, F(x)=(1)/(x^(2))int(4)^(x)(4t^(2)-2F'(t))dt, find F'(4).

    Text Solution

    |

  5. If y^(2)=p(x) is a polynomial of degree 3, then 2(d)/(dx)(y^(3)(d^(2)y...

    Text Solution

    |

  6. if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

    Text Solution

    |

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

    Text Solution

    |

  8. If y=tan^(-1){((log)e(e//x^2))/((log)e(e x^2))}+tan^(-1)((3+2\ (log)e ...

    Text Solution

    |

  9. The expression of (dy)/(dx) of the function y=a^(x^(a^(x...^(oo)))), i...

    Text Solution

    |

  10. If sqrt(1-x^(2))+sqrt(1-y^(2))=a(x-y), then (dy)/(dx) equals

    Text Solution

    |

  11. If y=e^(1+log(e)x), then the value of (dy)/(dx) is equal to

    Text Solution

    |

  12. If x^(y)=e^(x-y), then (dy)/(dx) is equal to

    Text Solution

    |

  13. Let f(x)=(x^(2))/(1-x^(2)),xne0,+-1, then derivative of f(x) with resp...

    Text Solution

    |

  14. If y=e^(sin^(-1)x)" and "u=logx," then"(dy)/(du), is

    Text Solution

    |

  15. The differential coefficient of f(x)=log(logx) with respect to x is

    Text Solution

    |

  16. If y=(tan^- 1)(sqrt(1+x^2)-1)/x, then y'(1) is equal to

    Text Solution

    |

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

    Text Solution

    |

  18. If f(x)=log(a)(log(a)x), then f'(x), is

    Text Solution

    |

  19. The differential coefficient of f((log)e x) with respect to x , where ...

    Text Solution

    |

  20. If x^(m).y^(n)=(x+y)^(m+n), prove that (i) (dy)/(dx) =(y)/(x) and (i...

    Text Solution

    |