Question

What is the derivative of (x + 1) sin x?

Answer 1

Answer
To find the derivative of (x + 1) sin x, we use the Product Rule: (fg)' = f'g + fg'.

Let f(x) = x + 1 and g(x) = sin x. Then, f'(x) = 1 and g'(x) = cos x.

Applying the Product Rule, we get:

((x + 1) sin x)' = (1)(sin x) + (x + 1)(cos x) = sin x + (x + 1) cos x.