Home
Class 12
MATHS
If y=e^logx,then dy/dx is a)e^logx b)log...

If `y=e^logx`,then dy/dx is a)`e^logx` b)logx c)1/x d)1

A

`e^logx`

B

log x

C

1/x

D

1

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MATRICES

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|128 Videos

  • RELATIONS AND FUNCTIONS

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|86 Videos

Similar Questions

Explore conceptually related problems

Find dy/dx if y=(sinx)^(logx) .

Find dy/dx if y=(logx)^cosx

Find dy/dx of y=(logx)^x+x^(logx)

Find dy/dx of y=(xlogx)^log(logx)

Find dy/dx if y=x^x+(logx)^x

If y=log(1/x) , show that dy/dx+e^y=0

If y=(logx)^(2) , then (dy)/(dx) at x=e is equal to a)2 b) e/2 c)e d) 2/e

If f(x) = sin x , the derivative of f (log x) w.r.t.x is a)cosx b)f' (logx) c)cos (log x) d) (cos(logx))/(x)

Find dy/dx , if y=logx , x>0

Find dy/dx , if y=(sinx)^logx , sinx>0

A N EXCEL PUBLICATION-PROBABILITY-QUESTION BANK
  1. Construct a 2xx2 matrix whose elements are given by aij=2i+3j/4

    Text Solution

    |

  2. If [(1,0,0),(2,0,1),(1,0,2):}][(0),(2),(x):}] = 0 find the value of x.

    Text Solution

    |

  3. If y=e^logx,then dy/dx is a)e^logx b)logx c)1/x d)1

    Text Solution

    |

  4. Find (dy/dx) if x=k( theta-sin theta), y=k(1+cos theta)

    Text Solution

    |

  5. Find the second derivative of y = xtan^-1 x

    Text Solution

    |

  6. Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk. ...

    Text Solution

    |

  7. Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk. ...

    Text Solution

    |

  8. Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk. ...

    Text Solution

    |

  9. Write the scalar components of 3hati-2hatj+5hatk

    Text Solution

    |

  10. Find the angle between the vectors hati+hatj and hati-hatj.

    Text Solution

    |

  11. Find '|vecx|', if for a unit vector 'veca,(vecx-veca) .(vecx+veca)=12'

    Text Solution

    |

  12. If |[x,2],[18,x]| = |[6,2],[18,6]|, then x =

    Text Solution

    |

  13. prove |[1, b c, a(b+c)],[ 1, c a, b(c+a)],[ 1, a b, c(a+b)]|=0

    Text Solution

    |

  14. Principal value of tan^-1sqrt3is ------------

    Text Solution

    |

  15. Write the following functions in the simplest form : tan^(-1) sqrt((...

    Text Solution

    |

  16. Find int(x^2)/(2x^3+1) dx=--------

    Text Solution

    |

  17. Prove that the function f(x)=2x-5 is continuous at x=-2

    Text Solution

    |

  18. If xsqrt(1+y)=sqrtx, prove that dy/dx=-1/(x^2)

    Text Solution

    |

  19. The factor of 3 is

    Text Solution

    |

  20. Solve: x-y+2z=7 3x+4y-5z=-5 2x-y+3z=12

    Text Solution

    |