Following the steps below, use logarithmic differentiation to determine the derivative of the function f(x)= (1+2x)1/x sin(x) a. Take the natural log of both sides and use properties of logarithms to expand the function: In f ( x ) ) = b. Take the derivative implicitly: f' ( x) = f( x ) c. Solve for f'(x) and replace f(x) with the original function definition: f' ( x ) =