What is the derivative of cos(4x-sin(x)) ?

The derivative of cos(4x-sin(x)) is -sin(4x)*4-cos(x)

What is the first derivative of cos(4x-sin(x)) ?

The first derivative of cos(4x-sin(x)) is -sin(4x)*4-cos(x)

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\frac{d}{d x} (cos (4 x) - sin (x))

- sin (4 x) \cdot 4 - cos (x)

Solution steps

\frac{d}{d x} (cos (4 x) - sin (x))

Apply the Sum/Difference Rule:

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

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

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

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

= - sin (4 x) \cdot 4 - cos (x)

\int \frac{- 7 x ^{2}}{4 x - x ^{2}} d x

n = 1 \sum \infty \frac{2}{3 n + 1}

\int 2 x ln (4 x) d x

(6.9) (7.1)

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

What is the derivative of cos(4x-sin(x)) ?
The derivative of cos(4x-sin(x)) is -sin(4x)*4-cos(x)
What is the first derivative of cos(4x-sin(x)) ?
The first derivative of cos(4x-sin(x)) is -sin(4x)*4-cos(x)