If y √log x+√log x +√log x + ...∞, then (dy/dx) is

Question

If y √log x+√log x +√log x + ...∞, then (dy/dx) is (A) (x/2y - 1) (B) (x/2y + 1) (C) (1/x(2y - 1)) (D) (1/x(1 - 2y))

Tardigrade Admin · Accepted Answer

y = √log x + y or y2 = log x + y or 2y (dy/dx) = (1/x) + (dy/dx) or (dy/dx) = (1/x(2y -1))

Q. If $y l o g x + l o g x + l o g x + ...\infty$ , then $\frac{d y}{d x}$ is