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1/(1+x^(a-b))+1/(1+x^(b-a))=?...

`1/(1+x^(a-b))+1/(1+x^(b-a))=?`

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To solve the expression \( \frac{1}{1+x^{a-b}} + \frac{1}{1+x^{b-a}} \), we can follow these steps: ### Step 1: Rewrite the Expression We start with the given expression: \[ \frac{1}{1+x^{a-b}} + \frac{1}{1+x^{b-a}} \] ...
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If y=1/(1+x^(a-b)+x(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)) then find (dy)/(dx) at e^(a^(b^c))

If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(b-a)+x^(c-a)), then (dy)/(dx) is equal to (a)1 (b) (a+b+c)^(x+b+c-1) 0 (d) none of these

Knowledge Check

  • 1/(1+x^(b-a)+x^(c-a))+1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))=?

    A
    `x^(a-b-c)`
    B
    1
    C
    0
    D
    3
  • If y=1/(1+x^(a-b)+x^(c-b))+1/(1+x^(b-c)+x^(a-c))+1/(1+x^(c-a)+x^(b-a)) , then dy/dx is equal to

    A
    `x^(a+b+c)`
    B
    0
    C
    `(a+b+c).x^(a+b+0-1)`
    D
    1
  • 1/(1+x^(b-a) +x^(c-a)) + 1/(1+ x^(a-b) + x^(c-b)) + 1/(1+b^(b-c) + x^(a-c)) equals.

    A
    `1/2`
    B
    2
    C
    1
    D
    0
  • Similar Questions

    Explore conceptually related problems

    If y = (1)/(1 + x^(a - b) + x^(c - b)) + (1)/(1 + x^(b-c) + x^(a - c)) + (1)/(1 + x^(b - a) + x^(c - a)) then find (dy)/(dx) at e^(a^(b^(c )))

    Prove that (1)/( 1+ x^(b-a) + x^(c-a) ) + (1)/( 1+x^(a-b) + x^(c-b) ) + (1)/( 1 + x^(b-c) + x^( a-c) ) = 1

    (1)/(1+x^(b-a)+x^(c-a))+(1)/(1+x^(a-b)+x^(c-b))+(1)/(1+x^(b-c)+x^(a-c))=1

    Show that: (1)/(1+x^(b-a)+x^(c-a))+(1)/(1+x^(a-b)+x^(c-b))+(1)/(1+x^(b-c)+x^(a-c))=1

    (1)/(1+x^(a-b)+x^(a-c))+(1)/(1+x^(b-c)+x^(b-a))+(1)/(1+x^(c-a)+x^(c-b))=1