Question Detail
Question
What is the derivative of \( y = 5e^x / \cos x \)?
Correct Answer
Option A is the correct answer.
Detailed Explanation
Quotient rule: ( \frac{(5e^x)\cos x - 5e^x(-\sin x)}{\cos^2 x} = \frac{5e^x(\cos x + \sin x)}{\cos^2 x} ).
Hint
Apply the quotient rule: \( (u/v)' = (u'v - uv')/v^2 \).