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

Question

If y = \(\cfrac{1}{1+\text x^{a-b}+\text x^{c-b}}\) + \(\cfrac{1}{1+\text x^{b-c}+\text x^{a-c}}\) + \(\cfrac{1}{1+\text x^{b-a}+\text x^{c-a}},\) then \(\cfrac{dy}{d\mathrm x} \) is equal to

A. 1

B. (a + b - c)^{\(\text x^{a+b+c-1}\)}

C. 0

D. none of these

Answer 1

Correct option is C. 0

Differentiating w.r.t x

⇒ \(\cfrac{dy}{d\mathrm x} \) = 0