Home
Class 11
MATHS
The n t h derivative of x e^x vanishes...

The `n t h` derivative of `x e^x` vanishes when (a)`x=0` (b) `x=-1` (c)`x=-n` (d) `x=n`

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

The derivative of y=(1-x)(2-x)....(n-x) at x=1 is (a) 0 (b) (-1)(n-1)! (c) n !-1 (d) (-1)^(n-1)(n-1)!

Let f(x)={a x^2+1,x >1 ; x+1/2,x<=1.t h e n ,f(x) is derivable at x=1, if a=2 (b) a=1 (c) a=0 (d) a=1/2

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to 1+x (b) 1-x (c) x (d) 1/x

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to 1+x (b) 1-x (c) x (d) 1/x

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to (a) 1+x (b) 1-x (c) x (d) 1/x

If x=(2sintheta)/(1+costheta+sintheta),t h e n(1-costheta+sintheta)/(1+sintheta) is equal to (a) 1+x (b) 1-x (c) x (d) 1/x

If n is not a multiple of 3, then the coefficient of x^n in the expansion of log_e (1+x+x^2) is : (A) 1/n (B) 2/n (C) -1/n (D) -2/n

ifint(dx)/(x^2(x^n+1)^(((n-1)/n)) )=-[f(x)]^(1/n)+c ,t h e nf(x)i s (a) (1+x^n) (b) 1+x^(-1) (c) x^n+x^(-n) (d) none of these

When n is any postive integer,the expansion (x+a)^(n) = .^(n)c_(0)x^(n) + .^(n)c_(1)x^(n-1)a + ……. + .^(n)c_(n)a^(n) is valid only when

If f(x)=x^n w h e r en in R , then differentiation of x^n with respect to xsin x^(n-1)dot

CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
  1. If y=x^((logx)^("log"(logdotx))),t h e n(dy)/(dx)i s (a)y/x(1n x^(x-...

    Text Solution

    |

  2. If y=sqrt(sinx+sqrt(sinx+sqrt(sinx+ tooo))),p rov et h a t(dy)/(dx)=(c...

    Text Solution

    |

  3. The n t h derivative of x e^x vanishes when (a)x=0 (b) x=-1 (c)...

    Text Solution

    |

  4. If x=a(cost+1/2logtan^2t) and y=asint then find (dy)/(dx) at t=pi/4

    Text Solution

    |

  5. The derivative of tan^(-1)((sqrt(1+x^2)-1)/x) with respect to tan^(-1)...

    Text Solution

    |

  6. If x^m y^n=(x+y)^(m+n),p rov et h a t(dy)/(dx)=y/xdot

    Text Solution

    |

  7. Let g(x)=f(x)sinx ,w h e r ef(x) is a twice differentiable function on...

    Text Solution

    |

  8. If x=acos^3theta,y=a sin^3theta,then find the value of d2y/dx2 at θ=π/...

    Text Solution

    |

  9. If x=sqrt(a^(sin^(-1)t)),y=sqrt(a^(cos^(-1)t) , a >0 a n d -1 < t...

    Text Solution

    |

  10. If x/a+y/b=sqrt2 touches the ellipses x^2/a^2+y^2/b^2=1, then find the...

    Text Solution

    |

  11. If y=f((2x-1)/(x^2+1))andf^'(x)=sinx^2, then find (dy)/(dx)

    Text Solution

    |

  12. Let y=x^3-8x+7 and x=f(t). ( dy ) / ( dx ) = 2 and x=3 at t=0, then...

    Text Solution

    |

  13. If x=(2t)/(1+t^2),y=(1-t^2)/(1+t^2),then find(dy)/(dx).

    Text Solution

    |

  14. If fr(x),gr(x),hr(x),r=1,2,3 are polynomials such that fr(a)=gr(a)=hr(...

    Text Solution

    |

  15. Find (dy)/(dx)ifx=a(theta-sintheta) and y=a(1-costheta)dot

    Text Solution

    |

  16. If f(x)=(log)x(log x),t h e nf^(prime)(x) at x=e is equal to (a) 1/e ...

    Text Solution

    |

  17. Differentiate tan^(-1)x/(1+sqrt((1-x^2))) +{2tan^(-1)sqrt(((1-x)/(1+x...

    Text Solution

    |

  18. If x=asec^3theta and y=atan^3theta, find (dy)/(dx) at theta=pi/3dot

    Text Solution

    |

  19. Differentiate (logx)^(cosx) with respect to xdot

    Text Solution

    |

  20. Find the differential equation of the family of curves y=A e^(2x)+B...

    Text Solution

    |