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`

Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

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

    CENGAGE PUBLICATION|Exercise All Questions|68 Videos

Similar Questions

Explore conceptually related problems

If y=a x^(n)+b x^(-n) ,then x^2(d^2y)/(dx^2) is equal to

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=(x+sqrt(1+x^(2)))^(n) , then (1+x^(2))(d^(2)y)/(dx^(2))+x(dy)/(dx) is equal to -

If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx) at x=0 is

If y=px^(n)+qx^(-n) , show that x^(2)y_(2)+xy_(1)-n^(2)y=0 .

If sin^(-1)x+sin^(-1)y=pi/2,t h e n(1+x^4+y^4)/(x^2-x^2y^2+y^2) is equal to 1 (b) 2 (c) 1/2 (d) none of these

If a x^2+2h x y+b y^2=1,t h e n(d^2y)/(dx^2) is (a) (h^2-a b)/((h x+b y)^2) (b) (a b-h^2)/((h x+b y)^2) (h^2+a b)/((h x+b y)^2) (d) none of these

If y=x^(n-1)logx , Prove that, x^2(d^2y)/(dx^2)+(3-2n)xdy/dx+(n-1)^2y=0

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

CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. d/(dx)(cos^(-1)sqrt(cosx)) is equal to (a)1/2sqrt(1+s e cx) (b) sq...

    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. Evaluate: (lim)(x->(3pi)/4)(1+(tanx)^(1/3))/(1-2cos^2x)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  13. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. The value of lim(x->1)(x ^(1/13)-x^(1/7))/((x^(1/5) - x^(1/3)) is (44)...

    Text Solution

    |

  17. 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

    |

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

    Text Solution

    |

  19. underset(xrarroo)(lim)(sum(r=1)^(10)(x+r)^(2010))/((x^(1006)+1)(2x^(10...

    Text Solution

    |

  20. If underset(xrarr0)(lim)(f(x))/(x^(2))=aand underset(xrarr0)(lim)(f(1-...

    Text Solution

    |