Home
Class 12
PHYSICS
If y=log(e)x+sinx+e^(x)" then "(dy)/(dx)...

If `y=log_(e)x+sinx+e^(x)" then "(dy)/(dx)` is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
`y=log _(e) x+sin x+ e^(x)`
`(dy)/(dx) =(d)/(dx) (log _(c)x)+ (d)/(dx)(sin x) +(d)/(dx)(e^(x))`
`=1/x +cos x+e^(x)`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

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

If y = e^(-x) , then (dy)/(dx) is

If y=log_(sinx)(tanx), then (dy)/ (dx) at x=(1)/(4) is equal to

If e^(-y)*y=x, then (dy)/(dx) is

If y=log_(cosx)sinx, then (dy)/(dx) is equal to

If y=e^x log x then (dy)/(dx) is

y=e^(sin x)/sinx then (dy)/(dx)=

y=sinx+e^(x) then (d^(2)x)/(dy^(2)) is:

If y=sinx+e^(x), Then find (dy)/(dx) .

if y=(xsinx)/(log_(e)x), then find (dy)/(dx)

ALLEN-TEST PAPER 4-PHYSICS
  1. Differentiation of cos (sqrt(x)) with respect to x is

    Text Solution

    |

  2. Given a function y=x^(2)-2sqrt(x). What is rate of change in y with re...

    Text Solution

    |

  3. If y=(x^(2))/((x+1))"then"(dy)/(dx)"is":-

    Text Solution

    |

  4. If y=log(e)x+sinx+e^(x)" then "(dy)/(dx) is

    Text Solution

    |

  5. If y=x^(3)cosx" then "(dy)/(dx)=……………………

    Text Solution

    |

  6. If the velocity of a paraticle moving along x-axis is given as v=(4t^(...

    Text Solution

    |

  7. (5)Value of underset(0)overset(2)int3x^(2)dx+underset(0)overset(pi/2)i...

    Text Solution

    |

  8. The value of integral underset(2)overset(4)int(dx)/(x) is :-

    Text Solution

    |

  9. Area bounded by curve y=sinx, whit x-axis, when x varies from 0 to (pi...

    Text Solution

    |

  10. If velocity of a particle is given by v=(2t+3)m//s. Then average veloc...

    Text Solution

    |

  11. Angle of elevation of top of building is 30^(@) from place A and beco...

    Text Solution

    |

  12. If Electric-current 'i' time (t) graph shown in figure. The average cu...

    Text Solution

    |

  13. A man travels one-third part of his total distance with speed v(1) and...

    Text Solution

    |

  14. The position 'x' of a particle moving along x-axis at any instant t re...

    Text Solution

    |

  15. The position x of a particle w.r.t. time t along x-axis is given by a ...

    Text Solution

    |

  16. For an object starting from rest with uniform acceleration which of th...

    Text Solution

    |

  17. The slope of the tangent to the curve y=ln(cosx)" at "x=(3pi)/(4)" i...

    Text Solution

    |

  18. A particle moves along the x-axis such that its co-ordinate (x) varies...

    Text Solution

    |

  19. If y= sin x+cos x then (d^(2)y)/(dx^(2)) is :-

    Text Solution

    |

  20. If velocity v varies with time t as v=2t^(2), then the plot between v ...

    Text Solution

    |