Home
Class 12
MATHS
If y = log x - x^2, then value of (d^2y)...

If `y = log x - x^2`, then value of `(d^2y)/(dx^2)` is

A

`-1/x^2+1`

B

`-1/x^2`

C

`1/x - 2x`

D

`-1/x^2-2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • CONTINUITY AND DIFFERENTIABILITY

    MODERN PUBLICATION|Exercise EXERCISE|588 Videos
  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise EXERCISE|326 Videos

Similar Questions

Explore conceptually related problems

If x = a (cos theta + log tan(theta/2)) and y = a sin theta , find the value of (d^2y)/(dx^2) at theta = pi/4

If y = 2 cos x -6 sin x , prove that (d^2y)/(dx^2)+y = 0

If y = 2 sin x + 3 cos x, prove that y + (d^2y)/(dx^2) = 0

If x = log t^2 , y = log t^3 , then (dy)/(dx) is

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

If (x)/(x-y)="log"(a)/(x-y) , then prove that (dy)/(dx)=2-(x)/(y) .

If y is a function of x and log(x+y)-2x y=0, then the value of y^(prime)(0) is (a)1 (b) -1 (c) 2 (d) 0

If y = a log x + bx^2 + x has its extreme values at x = -1 and x = 2, then find a and b.

MODERN PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. The derivative of log (cosec x) is

    Text Solution

    |

  2. The derivative of sinx^2 w.r.t. x^2 is

    Text Solution

    |

  3. If y = log x - x^2, then value of (d^2y)/(dx^2) is

    Text Solution

    |

  4. The function f(x) = |x| + |x-1| + |x-2| is continuous but not differen...

    Text Solution

    |

  5. The value of 'c' for which Lagrange's Mean value Theorem is applicable...

    Text Solution

    |

  6. At x = 0, the function f(x) = |x| is

    Text Solution

    |

  7. How many of the function f(x) =|x|, g (x)=|x^2| and h (x) = [x]^3 are...

    Text Solution

    |

  8. f(x)={((x^2-4)/(x-2),x!=2),(2k,x=2):} is continuous at x=2 then k=

    Text Solution

    |

  9. If f(x) = x^2+5x+2, then f'(3) is

    Text Solution

    |

  10. The derivative of cos 5x w.r.t x is

    Text Solution

    |

  11. If x=at^2, y = 2at , than dy/dx is

    Text Solution

    |

  12. If function defined by : f(x)= {((sin3x)/(2x),,x,ne,0),(k+1,,x,=,0):} ...

    Text Solution

    |

  13. If f(x)=logx(logx) then the value of f'(e) is

    Text Solution

    |

  14. If f(x)=log(x){ln(x)} then f'(x) at x=e, is

    Text Solution

    |

  15. If x=ct, y = c/t, find dy/dx at t = 2

    Text Solution

    |

  16. Let f(x) = {:{(ax+3,xle2),(a^2x-1,x>2):}. Then the value of 'a' for wh...

    Text Solution

    |

  17. Let R be the set of all real numbers. Let f: R rarr R be a function s...

    Text Solution

    |

  18. Let f(x) = x^2 + bx + 7. If f'(5) = 2f'(7/2), then the value of 'b' is

    Text Solution

    |

  19. The funtion f(x) = {:{(2x^2-1, if 1 le x le 4),(151-30x, if 4 < x le 5...

    Text Solution

    |

  20. Let f(x) be a differentiable function and f'(4) = 5, then: underset(xr...

    Text Solution

    |