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cos(x)/5
The derivative of the function/ cos(x)/5

Derivative of cos(x)/5

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
cos(x)
------
  5
$$\frac{\cos{\left(x \right)}}{5}$$ 
cos(x)/5
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
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-sin(x) 
--------
   5
$$- \frac{\sin{\left(x \right)}}{5}$$
Simplify
The second derivative [src] 
-cos(x) 
--------
   5
$$- \frac{\cos{\left(x \right)}}{5}$$
Simplify
The third derivative [src] 
sin(x)
------
  5
$$\frac{\sin{\left(x \right)}}{5}$$
Simplify
The graph
Derivative of cos(x)/5
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