Question Detail
Question
Find the derivative of y(x) = log₂ x
Correct Answer
Option B is the correct answer.
Detailed Explanation
The derivative of a logarithm with base 'b' is given by d/dx(log_b x) = 1 / (x ln b).In this case, the base b = 2. So, dy/dx = 1 / (x ln 2).Option B is 1 / (x ln a). If 'a' in the option represents the base of the logarithm in the question (which is 2), then this option is mathematically correct.
Hint
Use the change of base formula for logarithms or recall the derivative rule for log_b x.