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x^(x^(3))+(x^(3))^(x)...

`x^(x^(3))+(x^(3))^(x)`

Text Solution

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`x^(x^(3)).x^(2)(1+3logx)+3(x^(3))^(x)(1+logx)`
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Similar Questions

Explore conceptually related problems

Differentiate the following w.r.t. x : x^(x^(2)-3)+(x-3)^(x^(2)),"for "xgt3

Find the derivative of x^(x^(2)-3)+(x-3)^(x^(2)), for x>3

Knowledge Check

  • If x^(x^(3/2))=(x^3/2)^x , the value of x :

    A
    a)`4/9`
    B
    b)`9/4`
    C
    c)`3/2`
    D
    d)`2/3`
  • If (3-4x-5x^(2)-x^3)/((x+3)(x+2))= -x+(a)/(x+3)+(b)/(x+2) then (a,b) are

    A
    `(2,-1)`
    B
    `(2,-2)`
    C
    `(3,-1)`
    D
    `(3,1)`
  • If f(x)=(x^(3)+3x+5)/(x^(3)-3x+2) in [0, 5], then f is

    A
    continuous on its domain except at `x=1, x=-2`
    B
    continuous on its domain except at `x=1`
    C
    continuous on its domain except at `x=-2`
    D
    continuous on its domain
  • Similar Questions

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    coefficient of x^(2) in (3x+x^(3))(x+(1)/(x)) is

    Simplify: 2x^(2)(x^(3)-x)-3x(x^(4)+2x)-2(x^(4)-3x^(2))