Home
Class 12
MATHS
If y = sin (log (e) x) then (x ^(2) (d ^...

If `y = sin (log _(e) x)` then `(x ^(2) (d ^(2) y)/(dx ^(2)) +x (dy )/(dx)=`

A

`sin (log _(e) x)`

B

`cos (log _(e)x)`

C

`y ^(2)`

D

`-y`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-2|4 Videos
  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise SET-3|5 Videos
  • DIFFERENTIATION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C|3 Videos
  • DIFFERENTIAL EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2|15 Videos
  • DIRECTION COSINES AND DIRECTION RATIOS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET -2|3 Videos

Similar Questions

Explore conceptually related problems

x = cos theta, y = sin 5 theta implies (1- x ^(2)) (d^(2)y)/(dx ^(2)) -x (dy)/(dx) =

If y= sin^(-1)x , show that (1-x^(2)) (d^(2)y)/(dx^(2))-x(dy)/(dx)0 .

Cos^(-1) ((y)/(b)) =2 log "" ((x)/(2)) , x gt 0 implies x ^(2) (a ^(2) y)/(dx ^(2)) + x (dy )/(dx) =

If y = (lot _(e) x)/(x) and z = log _(e) x, then (d ^(2) y)/(dz^(2)) + (dy)/(dz) =

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

If y=e ^(-2x) sin ^(3) x , then (d^(2)y)/dx^(2) =

If x+ y = sin(x+y) then (dy)/(dx) =

If y = log _(cos x ) sin x, then , (dy)/(dx ) =

Show that (d ^(2)x)/( dy^2) =- ((d ^(2) y )/( dx ^(2))) ((dy)/(dx)) ^(-3)

DIPTI PUBLICATION ( AP EAMET)-DIFFERENTIATION -EXERCISE 1D
  1. If y = xe ^(- 1//x) then x ^(3) y (2) - xy (1) +y=

    Text Solution

    |

  2. If y = e ^(Sin^(-1)x ) then (1 - x ^(2)) y (2) - xy(1) -y=

    Text Solution

    |

  3. If y = sin (log (e) x) then (x ^(2) (d ^(2) y)/(dx ^(2)) +x (dy )/(dx)...

    Text Solution

    |

  4. If y =a cos (log x) + b sin (log x) then x ^(2) y (2) + xy (1)+y=

    Text Solution

    |

  5. Cos^(-1) ((y)/(b)) =2 log "" ((x)/(2)) , x gt 0 implies x ^(2) (a ^(2)...

    Text Solution

    |

  6. If y sqrt(1+ x ^(2)) = log ( x + sqrt( 1 + x ^(2))) then (1 + x ^(2))...

    Text Solution

    |

  7. If y = ae ^(-bx) cos (cx +d) then y (2) + 2by(1) + (b ^(2) +c ^(2)) y...

    Text Solution

    |

  8. If y = ax ^(n+1)+ bx ^(-n) then x ^(2) y (2) =

    Text Solution

    |

  9. If y = ae ^(nx) + be ^(-nx) then y (2)=

    Text Solution

    |

  10. If y = e ^(-kx //2) (a cos nx + b sin nx) then y (2)+ky(1)+ (n^(2) + k...

    Text Solution

    |

  11. If y =a cos (sin x) + b sin (sin x) then y (2) + (tan x) y(1)=

    Text Solution

    |

  12. f (x) = 10 cos x + (13 + 2x) sin x implies f''(x) + f(x) =

    Text Solution

    |

  13. If ay ^(4) = (x+ b) ^(5) then 5 y y(2)=

    Text Solution

    |

  14. If ax ^(2) + by ^(2) =c, then y (2) =

    Text Solution

    |

  15. If x ^(2) + xy + y ^(2) = a ^(2), then y (2) =

    Text Solution

    |

  16. If x ^(3) + y ^(3) = 3axy then y (2) =

    Text Solution

    |

  17. If y ^(2) = (x-a)(x-b)then ( d ^(3))/(dx ^(3)) [((d ^(2) y)/(dx ^(2))^...

    Text Solution

    |

  18. If x ^(3) + y^(3) = 3ax ^(2) then y (2)=

    Text Solution

    |

  19. If y ^(2) = a ^(2) cos ^(2) x + b b^(2) sin ^(2) x then y + y (2)=

    Text Solution

    |

  20. If ax ^(2) + 2hxy + by ^(2) =1 then (hx + by) ^(3) y (2) =

    Text Solution

    |