Home
Class 11
MATHS
If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)...

If `y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2)` is equal to (a) `n(n-1)y` (b) `n(n+1)y` (c) `n y` (d) `n^2y`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos
  • LINEAR INEQUALITIES

    CENGAGE ENGLISH|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to n(n-1)y (b) n(n+1)y n y (d) n^2y

If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to n(n-1)y (b) n(n+1)y n y (d) n^2y

If y=a x^(n+1)+b x^(-n) , then x^2(d^2y)/(dx^2)= n(n-1)y (b) n(n+1)y (c) n y (d) n^2y

If y=a\ x^(n+1)+b x^(-n) find (dy)/(dx) .

If y=x^(n-1)lnx then x^2y_2+(3-2n)x y_1 is equal to (a) -(n-1)^2y (b) (n-1)^2y (c) -n^2y (d) n^2y

If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx) is equal to (a) x+y (b) 1+x y (c) 1-x y (d) x y-2

If y=1+x+(x^2)/(2!)+(x^3)/(3!)+...+(x^n)/(n !),t h e n(dy)/(dx) is equal to (a) y (b) y+(x^n)/(n !) (c) y-(x^n)/(n !) (d) y-1-(x^n)/(n !)

If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx) is equal to x+y (b) 1+x y 1-x y (d) x y-2

If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx) is equal to x+y (b) 1+x y 1-x y (d) x y-2

If y=cos^(-1)(cosx),t h e n(dy)/(dx) is equal to x/y (b) y/(x^2) (x^2-y^2)/(x^2+y^2) (d) y/x

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. (d)/(dx)cos^(-1)sqrt(cosx),0ltxlt(pi)/(2) is equal to

    Text Solution

    |

  2. If f(0)=0,f^(prime)(0)=2, then the derivative of y=f(f(f(x))) at x=0 i...

    Text Solution

    |

  3. If y=a x^(n+1)+b x^(-n),t h e nx^2(d^2y)/(dx^2) is equal to (a) n(n-1)...

    Text Solution

    |

  4. If y=1+x+(x^2)/(2!)+(x^3)/(3!)+...+(x^n)/(n !),t h e n(dy)/(dx) is eq...

    Text Solution

    |

  5. If y=asinx+bcosx , then y^2+((dy)/(dx))^2 is a (a)function of x (...

    Text Solution

    |

  6. If y=(log)(sinx)(tanx),t h e n(((dy)/(dx)))(pi/4)"is equal to" (a)4...

    Text Solution

    |

  7. If y=(sin^(-1)x)/(sqrt(1-x^2)),t h e n((1-x^2)dy)/(dx) is equal to (a)...

    Text Solution

    |

  8. If (lim)(xvec0)(a e^x+bcos x+c e^(-x))/(e^(2x)-2e^x+1)=4,t h e n a.a=...

    Text Solution

    |

  9. If underset(xrarroo)(lim)xlog(e)(|(alpha//x,1,gamma),(0,1//x,beta),(1,...

    Text Solution

    |

  10. The value of (lim)(x->(3pi)/4)(1+t a n x1/3)/(1-2cos^2x) is (a)-1//2 (...

    Text Solution

    |

  11. Let f : R rarr R be a differentiable function at x = 0 satisfying f(0)...

    Text Solution

    |

  12. The value of lim(x->0)((1+2x)/(1+3x))^(1/x^2)e^(1/x) is e^(5/2) b. e^2...

    Text Solution

    |

  13. (lim)(xvec0^+)1/(xsqrt(x))("a t a n"^(-1)(sqrt(x))/a-btan^(-1)(sqrt(x)...

    Text Solution

    |

  14. If f^(prime)(a)=1/4, t h e n(lim)(hvec0)(f(a+2h^2)-f(a-2h^2))/(f(a+h^3...

    Text Solution

    |

  15. The value of (lim)(x->0)(e^(x^2)-e^x+x)/(1-cos2x) is

    Text Solution

    |

  16. Evalaute underset(xto1)lim(1+logx-x)/(1-2x+x^(2))

    Text Solution

    |

  17. The value of (lim)(xvec1)(x ^(1/13)-x^(1/7))/((x^(1/5) - x^(1/3)) is ...

    Text Solution

    |

  18. Number of integral values of lambda for which (lim)(x to 1)sec^(-1)((l...

    Text Solution

    |

  19. If f(x)={x/(s in x),x >0 2-x ,xlt=0 and g(x)={x+3,x<1x^2-2x-2,1lt=x<2x...

    Text Solution

    |

  20. If k in I sucht that (lim)(xvecoo)("cos"(kpi)/4)^(2n)-(cos-(kpi)/6)^(...

    Text Solution

    |