Mister Exam

Derivative of -2sin2x

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             
$$\frac{d}{d x} \left(- 2 \sin{\left(2 x \right)}\right)$$
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 -2sin2x