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2*sin(2*x)

Derivative of 2*sin(2*x)

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src]
2*sin(2*x)
$$2 \sin{\left(2 x \right)}$$
d             
--(2*sin(2*x))
dx            
$$\frac{d}{d x} 2 \sin{\left(2 x \right)}$$
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Let .

    2. The derivative of sine is cosine:

    3. Then, apply the chain rule. Multiply by :

      1. The derivative of a constant times a function is the constant times the derivative of the function.

        1. Apply the power rule: goes to

        So, the result is:

      The result of the chain rule is:

    So, the result is:


The answer is:

The graph
The first derivative [src]
4*cos(2*x)
$$4 \cos{\left(2 x \right)}$$
The second derivative [src]
-8*sin(2*x)
$$- 8 \sin{\left(2 x \right)}$$
The third derivative [src]
-16*cos(2*x)
$$- 16 \cos{\left(2 x \right)}$$
The graph
Derivative of 2*sin(2*x)