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

If `y=sin((log)_e x)` , then `x^2\ (d^2y)/(dx^2)+x(dy)/(dx)` is equal to.......

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If y=sin(log_(e)x) , then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx) is equal to

If y=cos(log x) , then x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y is equal to

If y=cos (log x) ,then " "x^(2) (d^(2)y)/(dx^(2))+x(dy)/(dx)=

If y=sin(log x), prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0

If y=sin(log x), prove that x^(2)(d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0

If y=log (log 2x) ,then x ( d^(2)y)/(dx^(2))+(dy)/(dx) =

If y=e^sqrtx+e^(-sqrtx) , then (x(d^2y)/(dx^2)+1/2.(dy)/(dx)) is equal to

If y=sin (msin ^(-1) x),then (1-x^(2))(d^(2)y)/(dx^(2))-x( dy)/(dx)=

If y=sin(log x), then prove that (x^(2)d^(2)y)/(dx^(2))+x(dy)/(dx)+y=0

BANSAL-LIMITS AND DERIVATIVES-All Questions
  1. If y=(a^(cos^(-1)x))/(1+a^(cos^(-1)x)) and z=a^(cos^(-1)x), then (dy)/...

    Text Solution

    |

  2. The second order derivative of a sin^3 t w.r.t, a cos^3 t at t = pi/4...

    Text Solution

    |

  3. If y=sin((log)e x) , then x^2\ (d^2y)/(dx^2)+x(dy)/(dx) is equal to......

    Text Solution

    |

  4. (d^(20))/(dx^(20))(2cosxcos3x) is equal to........

    Text Solution

    |

  5. If y=x^3(log)e(1+x) , then y'(0) is equal to.......

    Text Solution

    |

  6. If y=(x+sqrt(1+x^2))^n then (1+x^2)(d^2y)/(dx^2)+x(dy)/(dx)

    Text Solution

    |

  7. f(x) and g(x) are two differentiable functions in [0,2] such that f"(...

    Text Solution

    |

  8. If y=cos(sinx^2) then at x=sqrt(pi/2), (dy)/(dx)=

    Text Solution

    |

  9. If f(x)=xtan^(-1)x, then f'(1) is equal to

    Text Solution

    |

  10. If f(x)=(log)x(logx) , then f'(x) at x=e is equal to......

    Text Solution

    |

  11. If y=(log)(sinx)(tanx) , then (((dy)/(dx)))(pi//4) is equal to.......

    Text Solution

    |

  12. If x^my^n = (x + y)^(m+n), then (dy/dx)(x=1, y=2) is equal to

    Text Solution

    |

  13. Let f, g and h are differentiable functions. If f(0) = 1; g(0) = 2; ...

    Text Solution

    |

  14. Find the derivative with respect to x of ((log)(cosx)sinx)((log)(sinx)...

    Text Solution

    |

  15. Evaluate: intsin^(-1)((2x+2)/(sqrt(4x^2+8x+13)))dx

    Text Solution

    |

  16. Let f(x) = x^2-4x-3, x > 2 and let g be the inverse of f. Find the val...

    Text Solution

    |

  17. Let f : R -> R be defined as f(x) = x^3 + 3x^2 + 6x-5 + 4e^(2x) and ...

    Text Solution

    |

  18. Suppose f^-1 is the inverse function of a differentiable function f an...

    Text Solution

    |

  19. If y = y(x) and it follows the relation e^(xy) + y cos x = 2, then fin...

    Text Solution

    |

  20. A twice differentiable function f(x)is defined for all real numbers an...

    Text Solution

    |