Question Detail

MTH 102 Differentiation Objective Question

Question

What is the derivative of \( y = e^{3x} \)?
Options
A \( e^{3x} \)
B \( 3e^{3x} \)
Correct Answer
C \( 3x e^{3x-1} \)
D \( e^{3} \)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Using the chain rule: derivative of ( e^u ) is ( e^u \cdot u' ). Here ( u=3x ), so ( u'=3 ).

Hint

Recall the rule for differentiating exponential functions with a linear exponent.

Question Info