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

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

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

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

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

cos (x) - 2 sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= cos (x) - 2 sin (x)

x \to 3 lim (\frac{6 x}{x - 3})

\int \frac{1}{1 - ( - x )} d x

x d y - y d x = x \cdot tan (\frac{y}{x}) d x

\frac{d}{d x} (x^{6})

5 y^{^{''}} + y^{^{'}} = - 2 x, y (0) = 0, y^{^{'}} (0) = - 15

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