What is the derivative of 5cos(x-2sin(3x)) ?

The derivative of 5cos(x-2sin(3x)) is -5sin(x)-6cos(3x)

What is the first derivative of 5cos(x-2sin(3x)) ?

The first derivative of 5cos(x-2sin(3x)) is -5sin(x)-6cos(3x)

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\frac{d}{d x} (5 cos (x) - 2 sin (3 x))

- 5 sin (x) - 6 cos (3 x)

Solution steps

\frac{d}{d x} (5 cos (x) - 2 sin (3 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 cos (x)) - \frac{d}{d x} (2 sin (3 x))

\frac{d}{d x} (5 cos (x)) = - 5 sin (x)

\frac{d}{d x} (2 sin (3 x)) = 6 cos (3 x)

= - 5 sin (x) - 6 cos (3 x)

What is the derivative of 5cos(x-2sin(3x)) ?
The derivative of 5cos(x-2sin(3x)) is -5sin(x)-6cos(3x)
What is the first derivative of 5cos(x-2sin(3x)) ?
The first derivative of 5cos(x-2sin(3x)) is -5sin(x)-6cos(3x)