What is the derivative of y=2Cx+C(sin(x)+xcos(x)) ?

The derivative of y=2Cx+C(sin(x)+xcos(x)) is 2C+C(2cos(x)-xsin(x))

What is the first derivative of y=2Cx+C(sin(x)+xcos(x)) ?

The first derivative of y=2Cx+C(sin(x)+xcos(x)) is 2C+C(2cos(x)-xsin(x))

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derivative of

y = 2 C x + C (sin (x) + x cos (x))

2 C + C (2 cos (x) - x sin (x))

Solution steps

\frac{d}{d x} (2 C x + C (sin (x) + x cos (x)))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 C x) + \frac{d}{d x} (C (sin (x) + x cos (x)))

\frac{d}{d x} (2 C x) = 2 C

\frac{d}{d x} (C (sin (x) + x cos (x))) = C (2 cos (x) - x sin (x))

= 2 C + C (2 cos (x) - x sin (x))

What is the derivative of y=2Cx+C(sin(x)+xcos(x)) ?
The derivative of y=2Cx+C(sin(x)+xcos(x)) is 2C+C(2cos(x)-xsin(x))
What is the first derivative of y=2Cx+C(sin(x)+xcos(x)) ?
The first derivative of y=2Cx+C(sin(x)+xcos(x)) is 2C+C(2cos(x)-xsin(x))