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

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

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

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

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

2 cos (x) - sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 cos (x) - sin (x)

(x - 2)^{^{'}}

25 t

\int_{0}^{\frac{1}{4}} 4 arcsin (4 y) d y

\int (sin (2) x^{2})^{2} x cos (2) x^{2} d x

\frac{d y}{d x} + y^{3} x + 3 y = 0

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