What is the derivative of 8xsin(x-4pisin(x)) ?

The derivative of 8xsin(x-4pisin(x)) is 8(sin(x)+xcos(x))-4picos(x)

What is the first derivative of 8xsin(x-4pisin(x)) ?

The first derivative of 8xsin(x-4pisin(x)) is 8(sin(x)+xcos(x))-4picos(x)

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\frac{d}{d x} (8 x sin (x) - 4 π sin (x))

8 (sin (x) + x cos (x)) - 4 π cos (x)

Solution steps

\frac{d}{d x} (8 x sin (x) - 4 π sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (8 x sin (x)) - \frac{d}{d x} (4 π sin (x))

\frac{d}{d x} (8 x sin (x)) = 8 (sin (x) + x cos (x))

\frac{d}{d x} (4 π sin (x)) = 4 π cos (x)

= 8 (sin (x) + x cos (x)) - 4 π cos (x)

What is the derivative of 8xsin(x-4pisin(x)) ?
The derivative of 8xsin(x-4pisin(x)) is 8(sin(x)+xcos(x))-4picos(x)
What is the first derivative of 8xsin(x-4pisin(x)) ?
The first derivative of 8xsin(x-4pisin(x)) is 8(sin(x)+xcos(x))-4picos(x)