What is the derivative of 3sin(x-3xcos(x)) ?

The derivative of 3sin(x-3xcos(x)) is 3xsin(x)

What is the first derivative of 3sin(x-3xcos(x)) ?

The first derivative of 3sin(x-3xcos(x)) is 3xsin(x)

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\frac{d}{d x} (3 sin (x) - 3 x cos (x))

3 x sin (x)

Solution steps

\frac{d}{d x} (3 sin (x) - 3 x cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 sin (x)) - \frac{d}{d x} (3 x cos (x))

\frac{d}{d x} (3 sin (x)) = 3 cos (x)

\frac{d}{d x} (3 x cos (x)) = 3 (cos (x) - x sin (x))

= 3 cos (x) - 3 (cos (x) - x sin (x))

Simplify

3 cos (x) - 3 (cos (x) - x sin (x)) : 3 x sin (x)

= 3 x sin (x)

\frac{d}{d x} (cos^{x} (x))

\int 5 x + \frac{1}{2 x} d x

y = sin (x^{4})

\int (x^{2} + 1) 2 x d x

g (u) = 2 u + 3 u

What is the derivative of 3sin(x-3xcos(x)) ?
The derivative of 3sin(x-3xcos(x)) is 3xsin(x)
What is the first derivative of 3sin(x-3xcos(x)) ?
The first derivative of 3sin(x-3xcos(x)) is 3xsin(x)