What is the derivative of 4cos(x+2sin(x)) ?

The derivative of 4cos(x+2sin(x)) is -4sin(x)+2cos(x)

What is the first derivative of 4cos(x+2sin(x)) ?

The first derivative of 4cos(x+2sin(x)) is -4sin(x)+2cos(x)

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\frac{d}{d x} (4 cos (x) + 2 sin (x))

- 4 sin (x) + 2 cos (x)

Solution steps

\frac{d}{d x} (4 cos (x) + 2 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 cos (x)) + \frac{d}{d x} (2 sin (x))

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

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

= - 4 sin (x) + 2 cos (x)

x \to \infty lim (π^{x})

f (x) = \frac{2}{x + 1}, (4, \frac{2}{5})

2 \cdot e^{3 x}

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

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

What is the derivative of 4cos(x+2sin(x)) ?
The derivative of 4cos(x+2sin(x)) is -4sin(x)+2cos(x)
What is the first derivative of 4cos(x+2sin(x)) ?
The first derivative of 4cos(x+2sin(x)) is -4sin(x)+2cos(x)