What is the derivative of x-sin(2x) ?

The derivative of x-sin(2x) is 1-cos(2x)*2

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

The first derivative of x-sin(2x) is 1-cos(2x)*2

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

1 - cos (2 x) \cdot 2

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d x} = 1

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

= 1 - cos (2 x) \cdot 2

x \to - 2 lim (x (2))

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

\frac{d}{d t} (sec (t) tan (t))

\frac{d}{d x} (- 2 cot (x) + 3 csc (x))

y = 5 cos (x), y = 5 sin (x), 0 \leq x \leq π

What is the derivative of x-sin(2x) ?
The derivative of x-sin(2x) is 1-cos(2x)*2
What is the first derivative of x-sin(2x) ?
The first derivative of x-sin(2x) is 1-cos(2x)*2