Question Detail
Question
Find y' of y = tan(2x) at x = π/2
Correct Answer
Option A is the correct answer.
Detailed Explanation
y'=2sec²(2x). At x=π/2, 2x=π, so sec²(π)=1/cos²(π)=1. Thus y'=2(1)=2.
Hint
Differentiate tan(2x), then evaluate sec² at the doubled angle.