Question Detail

MTH 102 Differentiation Objective Question

Question

If \( y = x \ln x \), what is the derivative?
Options
A \( 1 \)
B \( 1 + \ln x \)
Correct Answer
C \( \ln x \)
D \( 1/x \)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Use product rule: ( (x)'\ln x + x(\ln x)' = (1)\ln x + x(1/x) = \ln x + 1 ).

Hint

Recall the product rule: \( (uv)' = u'v + uv' \).

Question Info