y^(i))(1)/(1+x^(a-b))+(1)/(1+x^(b-a))

Prove that (i) (a^(-1))/(a^(-1) + b^(-1)) + (a^(-1))/(a^(-1)-b^(-1)) = (2b^(2))/(b^(2) -a^(2)) (ii) (1)/(1+x^(a-b)) + (1)/(1+x^(b-a)) = 1

Simplify : : ( ( x+(1)/(y)) ^(a) ( x-(1)/(y))^(b))/((y+(1)/(x))^(a) (y-(1)/(x))^(b))

Prove that. (i) sqrt(x^(-1) y) .sqrt(y^(-1) z) . Sqrt(z^(-1) x) = 1 (ii) ((1)/(x^(a-b)))^((1)/(a-c)).((1)/(x^(b-c))).((1)/(x^(c-b)))^((1)/(c-b))= 1 (iii) (x^(a(b-c)))/(x^(b(a-c))) div ((x^(b))/(x^(a))) (iv) ((x^(a+b))^(2)(x^(b+c))^(2)(x^(c+a))^(2))/((x^(a)x^(b)x^(c))^(4))

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 find (dy)/(dx) at e^(a^(b^(c )))

The expression ((x+(1)/(y))^(a)*(x-(1)/(y))^(b))/((y+(1)/(x))^(a)*(y-(1)/(x))^(b)) reduces to a.((x)/(y))^(a-b) b.((y)/(x))^(a-b)backslash c((x)/(y))^(a+b)d.((y)/(x))^(a+b)

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