Mister Exam

Derivative of 1/5x+3

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
x    
- + 3
5    
$$\frac{x}{5} + 3$$
d /x    \
--|- + 3|
dx\5    /
$$\frac{d}{d x} \left(\frac{x}{5} + 3\right)$$
Detail solution
  1. Differentiate term by term:

    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:

    2. The derivative of the constant is zero.

    The result is:


The answer is:

The first derivative [src]
1/5
$$\frac{1}{5}$$
The second derivative [src]
0
$$0$$
The third derivative [src]
0
$$0$$