Let k be a constant. Compute [ln(kx)] in two ways.
function.
a) Using the Chain Rule, first decompose y = In(kx) into an outside and inside function. Outside function (in terms of u): y = Inside function (in terms of x): u = Then find the derivative, [In(kx)] = (simplify your answer).
b) Using a law of logarithms to simplify first: In(kx) = +In x. (Fill in the blanks to make this a true statement.) Now take the derivative of the simplified function: =