Question Detail
Question
Obtain the nth derivative of y = 3e^(-4x) with respect to x
Correct Answer
Option C is the correct answer.
Detailed Explanation
Each differentiation of e^(-4x) multiplies by -4, so after n derivatives the constant factor is 3·(-4)ⁿ, giving 3(-4)ⁿe^(-4x).
Hint
Differentiate a couple of times and look for the pattern in the constant multiplier.