Find the derivative of the following functions:
sin x cos x
Let f(x) = sin x cos x
By product rule,
=sinx × (-sinx) + cosx × cosx
= - sin2 x + cos2 x
∴ f’(x) = cos2 x – sin2 x
11
Find the derivative of the following functions:
sin x cos x
Let f(x) = sin x cos x
By product rule,
=sinx × (-sinx) + cosx × cosx
= - sin2 x + cos2 x
∴ f’(x) = cos2 x – sin2 x