What is the derivative of cos(x)+xsin(x) ?

The derivative of cos(x)+xsin(x) is xcos(x)

What is the first derivative of cos(x)+xsin(x) ?

The first derivative of cos(x)+xsin(x) is xcos(x)

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derivative of

cos (x) + x sin (x)

x cos (x)

Solution steps

\frac{d}{d x} (cos (x) + x sin (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (cos (x)) + \frac{d}{d x} (x sin (x))

\frac{d}{d x} (cos (x)) = - sin (x)

\frac{d}{d x} (x sin (x)) = sin (x) + x cos (x)

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

Simplify

= x cos (x)

\frac{\partial}{\partial x} (\frac{1}{3} x^{3} y^{3})

\int_{8}^{9} x x - 8 d x

((x - x^{2}) - (x^{2} - 6 x)), 0, 3.5

f (x) = 2 sin (x) + 6 cos (x), at x = 0

\frac{\partial}{\partial x} (x^{8} y^{4} - x^{7} y^{3})

What is the derivative of cos(x)+xsin(x) ?
The derivative of cos(x)+xsin(x) is xcos(x)
What is the first derivative of cos(x)+xsin(x) ?
The first derivative of cos(x)+xsin(x) is xcos(x)