Question

If y=x cos x, find (dy)/(dx)

Answer 1

Answer:

cos(x) - x sin(x)

Explanation:

f(x) = x cos x

using product rule of derivatives

f'(x) = x * d(cos x)/dx + cos x * d(x)/dx

f'(x) = x (-sin x) + cos x

f'(x) = cos(x) - x sin(x)