Question

Let f(x) = ln(1 − 2x). Which of the following represents f '(x) for all values of x for which the function is defined?

StartFraction 1 Over 1 minus 2 x EndFraction
Negative StartFraction 2 Over 1 minus 2 x EndFraction
StartFraction 1 Over l n (1 minus 2 x) EndFraction
Negative StartFraction 2 Over l n (1 minus 2 x) EndFraction

Answer 1

f(x) = ln(1 - 2x)

f'(x) = (1/(1 - 2x))(-2) = -2/(1 - 2x) = 2/(2x - 1)