Question

Differentiate (sinx+cosx) . (sinx-cosx)

Answer 1

Answer:

y = (sin x + cos x) (sin x - cos x)

y = sin²x - cos²x

dy/dx = 2 sin x cos x - (2 cos x * - sin x)

=> 2 sin x cos x + 2 sin x cos x

=> 4 sin x cos x [ power rule and chain rule ]