Home
Class 11
MATHS
If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(d...

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

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=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (n y)/(sqrt(x^2+a^2)) (b) -(n y)/(sqrt(x^2+a^2)) (n x)/(sqrt(x^2+a^2)) (d) -(n x)/(sqrt(x^2+a^2))

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

If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt((x^2+a^2)

If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt(x^2+a^2)) .

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

If y=tan^(-1)sqrt((x+1)/(x-1)),t h e n(dy)/(dx)i s (a) (-1)/(2|x|sqrt(x^2-1)) (b) (-1)/(2xsqrt(x^2-1)) (c) 1/(2xsqrt(x^2-1)) (d) none of these

y= (a^2+x^2)/(sqrt(a^2-x^2)) then dy/dx=

If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)) ,then (dy)/(dx) is equal to (a) (a y)/(xsqrt(a^2-x^2)) (b) (a y)/(sqrt(a^2-x^2)) (c) (a y)/(xsqrt(a^2-x^2)) (d) none of these

If y=sqrt(x)+1/(sqrt(x)),p rov et h a t2x(dy)/(dx)=sqrt(x)-1/(sqrt(x))

If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),t h e n(dy)/(dx)i se q u a lto (a y)/(xsqrt(a^2-x^2)) (b) (a y)/(sqrt(a^2-x^2)) (a y)/(xsqrt(a^2-x^2)) (d) none of these

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If y={(log)(cosx)sinx}{(log)(sinx)cosx}^(-1)+sin^(-1)((2x)/(1+x^2)),f...

    Text Solution

    |

  2. dy/dx=(sqrt((1-sin2x)/(1+sin2x))) is equal to, 0ltxltpi/2

    Text Solution

    |

  3. If y=(x+sqrt(x^2+a^2))^n ,t h e n(dy)/(dx) is (a)(n y)/(sqrt(x^2+a^2...

    Text Solution

    |

  4. If f(x)=sqrt(1+cos^2(x^2)),t h e nf^(prime)((sqrt(pi))/2) is (a) (sqrt...

    Text Solution

    |

  5. (d)/(dx)cos^(-1)sqrt(cosx),0ltxlt(pi)/(2) is equal to

    Text Solution

    |

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

    Text Solution

    |

  7. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. 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

    |

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

    Text Solution

    |

  18. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |