Question Detail

MTH 102 Differentiation Objective Question
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Question

If \( y = x^x \), find \( dy/dx \).
Options
A \( x^x(1 + \ln x) \)
Correct Answer
B \( x \cdot x^{x-1} \)
C \( x^x \ln x \)
D 1
Correct Answer

Option A is the correct answer.

Detailed Explanation

Use log differentiation: ( \ln y = x \ln x \implies y'/y = 1 + \ln x \implies y' = x^x(1 + \ln x) ).

Hint

Take the log of both sides then differentiate.

Question Info

Course: MTH 102
Topic: Differentiation
Type: Objective
Difficulty: Not specified
Question 144 of 930
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