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

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

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

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

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

- 3 sin (x) - 2 cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - 3 sin (x) - 2 cos (x)

\frac{\partial}{\partial x} (x - y - 2)

\int (cot^{2} (x)) d x

\int 7 x^{2} (6 x^{3} + 3)^{3} d x

\int \frac{x ^{2}}{x - 4} d x

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

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