Question Detail
Question
Obtain the first derivative of y=a^(sin2x) with respect to x, where a is a constant
Correct Answer
Option D is the correct answer.
Detailed Explanation
Using d/dx[a^u]=a^u·ln(a)·u' with u=sin2x, u'=2cos2x: dy/dx=2cos2x(a^(sin2x))ln(a).
Hint
Use the general exponential differentiation rule with u=sin(2x).