Derivative of 3lnx

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3*log(x)

$$3 \log{\left(x \right)}$$

d           
--(3*log(x))
dx

$$\frac{d}{d x} 3 \log{\left(x \right)}$$

Transform

Detail solution

The derivative of a constant times a function is the constant times the derivative of the function.
1. The derivative of $\log{\left(x \right)}$ is $\frac{1}{x}$ .
So, the result is: $\frac{3}{x}$

The answer is:

$\frac{3}{x}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

3
-
x

$$\frac{3}{x}$$

Simplify

The second derivative [src]

-3 
---
  2
 x

$$- \frac{3}{x^{2}}$$

Simplify

The third derivative [src]

6 
--
 3
x

$$\frac{6}{x^{3}}$$

Simplify

The graph