Solve f(x)=x cos(x)-2 sin(x)

Evaluate

f (x) = x cos (x) - 2 sin (x)

Take the derivative of both sides

f^{'} (x) = \frac{d}{d x} (x cos (x) - 2 sin (x))

Use differentiation rule \frac{d}{d x} (f (x) \pm g (x)) = \frac{d}{d x} (f (x)) \pm \frac{d}{d x} (g (x))

f^{'} (x) = \frac{d}{d x} (x cos (x)) - \frac{d}{d x} (2 sin (x))

Calculate

More Steps

f^{'} (x) = cos (x) - x sin (x) - \frac{d}{d x} (2 sin (x))

Calculate

More Steps

f^{'} (x) = cos (x) - x sin (x) - 2 cos (x)

Solution

f^{'} (x) = - cos (x) - x sin (x)

Function