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

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

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

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

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

cos (x) - sin (2 x) \cdot 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= cos (x) - sin (2 x) \cdot 2

\int_{0}^{2} ∣ x - 1 ∣ d x

\int_{0}^{\infty} \frac{5}{x ^{2} + 4} d x

\int cos (8 x^{2}) d x

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

\int_{0}^{4} 2 x d x

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