Question Detail

MTH 102 Practice Questions MTH 102 Objective Question
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Question

Differentiate e^(ln3x)/x with respect to x
Options
A (xe^(ln3x)-1)/x²
B 3x
C 0
Correct Answer
D (e^(ln3x)-1)/x²
Correct Answer

Option C is the correct answer.

Detailed Explanation

e^(ln3x)=3x, so the expression simplifies to 3x/x=3, a constant. The derivative of a constant is 0.

Hint

Simplify e^(ln3x) first before differentiating — it's just 3x.

Question Info

Course: MTH 102
Topic: Practice Questions MTH 102
Type: Objective
Difficulty: Not specified
Question 876 of 930
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