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 ) =