Question Detail
Question
If y = e^(ax²+b), dy/dx is
Correct Answer
Option D is the correct answer.
Detailed Explanation
Use the chain rule for derivatives of exponential functions: d/dx(e^u) = e^u * du/dx.Here, u = ax² + b.So, du/dx = d/dx(ax² + b) = 2ax.Therefore, dy/dx = e^(ax²+b) * (2ax) = 2ax e^(ax²+b).
Hint
Remember the chain rule for e^u.