Question Detail
Question
Find the derivative of y = ln ax?
Correct Answer
Option D is the correct answer.
Detailed Explanation
The function is y = ln(ax).Using the chain rule, d/dx (ln(u)) = (1/u) * (du/dx).Here, u = ax, so du/dx = a.dy/dx = (1/(ax)) * ady/dx = 1/x.Alternatively, using logarithm properties: y = ln(a) + ln(x). Then dy/dx = d/dx(ln(a)) + d/dx(ln(x)) = 0 + 1/x = 1/x.
Hint
Remember the chain rule for derivatives of logarithmic functions: d/dx(ln(u)) = (1/u) * u'. Alternatively, use logarithm properties to simplify before differentiating.