Question Detail
Question
What is the derivative of \( y = e^{-5z} + 8\ln(2z^4) \) with respect to \( z \)?
Correct Answer
Option A is the correct answer.
Detailed Explanation
( d/dz(e^{-5z}) = -5e^{-5z} ). ( d/dz(8\ln(2z^4)) = 8 \cdot \frac{8z^3}{2z^4} = 64z^3/2z^4 = 32/z ).
Hint
Apply basic rules to each term separately.