Question Detail
Question
Find the second derivative of y = e^(tanx) with respect to x
Correct Answer
Option A is the correct answer.
Detailed Explanation
y'=e^(tanx)sec²x. Differentiating again with the product rule: y''=e^(tanx)sec²x·sec²x + e^(tanx)·2sec²x tanx = e^(tanx)sec²x(sec²x+2tanx).
Hint
Differentiate once to get y'=e^(tanx)sec²x, then apply the product rule for the second derivative.