Derivative of 3log2(x)

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3*log(x)
--------
 log(2)

$$\frac{3 \log{\left(x \right)}}{\log{\left(2 \right)}}$$

d /3*log(x)\
--|--------|
dx\ log(2) /

$$\frac{d}{d x} \frac{3 \log{\left(x \right)}}{\log{\left(2 \right)}}$$

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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: $\frac{3}{x \log{\left(2 \right)}}$

The answer is:

$\frac{3}{x \log{\left(2 \right)}}$

The graph

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The first derivative [src]

   3    
--------
x*log(2)

$$\frac{3}{x \log{\left(2 \right)}}$$

Simplify

The second derivative [src]

   -3    
---------
 2       
x *log(2)

$$- \frac{3}{x^{2} \log{\left(2 \right)}}$$

Simplify

The third derivative [src]

    6    
---------
 3       
x *log(2)

$$\frac{6}{x^{3} \log{\left(2 \right)}}$$

Simplify

The graph