please do the following problems and show the work

59. Let y = Inr. (a) Solve for r. (b) Take the derivative _ of both sides of your equation from part (a). Employ the chain rule every time you need to apply the _ to a y-variable. (c) Solve for -2. Use your equation from part (a) to write your answer as a function of I. (d) Use your results to fill in the conclusion for Theorem 28. Theorem 28 (Derivative of the Natural Logarithm) Inc = 60. Sketch a graph of the function y = In /r). What is the domain of this function? Where the r-intercepts? What is the equation of the vertical asymptote? Use the definition of absolute value and Theorem 28 to calculate - In |r]. 61. Let y = log,(r) for some base b > 0. (a) Use the change of base formula to rewrite this function in terms of the natural logarithm. (b) Use your result from part (a) to find the derivative y'. Use your result to complete the following Theorem. Theorem 29 (Derivative of the Logarithm Base b) dr - logs (x) =