Mister Exam

Derivative of 2/3cosx

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
2*cos(x)
--------
   3    
$$\frac{2 \cos{\left(x \right)}}{3}$$
d /2*cos(x)\
--|--------|
dx\   3    /
$$\frac{d}{d x} \frac{2 \cos{\left(x \right)}}{3}$$
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. The derivative of cosine is negative sine:

    So, the result is:


The answer is:

The graph
The first derivative [src]
-2*sin(x)
---------
    3    
$$- \frac{2 \sin{\left(x \right)}}{3}$$
The second derivative [src]
-2*cos(x)
---------
    3    
$$- \frac{2 \cos{\left(x \right)}}{3}$$
The third derivative [src]
2*sin(x)
--------
   3    
$$\frac{2 \sin{\left(x \right)}}{3}$$
The graph
Derivative of 2/3cosx