Question Detail
Question
Find the derivative of y = 3 log(x - 1)
Correct Answer
Option C is the correct answer.
Detailed Explanation
Assuming 'log' refers to the natural logarithm (ln):y = 3 ln(x - 1).Using the chain rule, dy/dx = 3 * d/dx(ln(x - 1))dy/dx = 3 * (1 / (x - 1)) * d/dx(x - 1)dy/dx = 3 * (1 / (x - 1)) * 1 = 3 / (x - 1).
Hint
Recall the derivative of ln(u) is u'/u.