Mister Exam

Derivative of (5log(x))

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
5*log(x)
5log(x)5 \log{\left(x \right)}
d           
--(5*log(x))
dx          
ddx5log(x)\frac{d}{d x} 5 \log{\left(x \right)}
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. The derivative of log(x)\log{\left(x \right)} is 1x\frac{1}{x}.

    So, the result is: 5x\frac{5}{x}


The answer is:

5x\frac{5}{x}

The graph
02468-8-6-4-2-1010-100100
The first derivative [src]
5
-
x
5x\frac{5}{x}
The second derivative [src]
-5 
---
  2
 x 
5x2- \frac{5}{x^{2}}
The third derivative [src]
10
--
 3
x 
10x3\frac{10}{x^{3}}
The graph
Derivative of (5log(x))