Differentiate F when

Question

F(x) = 1/(1+lnx) ?

Answer 1

F(x) = 1 / ( 1 + logx)

Differeciate each side with respective x

d / dx(F(x)) = -1 / (1 + logx)²(0 + 1 / x) (1)    (Apply derivative chainrule)

F'(x) = -1 / (1 + logx)²(1 / x)

        = -1 / x(1 + logx)².