Derivative of lnx/ln4

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log(x)
------
log(4)

\frac{\log{\left(x \right)}}{\log{\left(4 \right)}}

d /log(x)\
--|------|
dx\log(4)/

\frac{d}{d x} \frac{\log{\left(x \right)}}{\log{\left(4 \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: $\frac{1}{x \log{\left(4 \right)}}$

The answer is:

\frac{1}{x \log{\left(4 \right)}}

The graph

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The first derivative [src]

   1    
--------
x*log(4)

\frac{1}{x \log{\left(4 \right)}}

Simplify

The second derivative [src]

   -1    
---------
 2       
x *log(4)

- \frac{1}{x^{2} \log{\left(4 \right)}}

Simplify

The third derivative [src]

    2    
---------
 3       
x *log(4)

\frac{2}{x^{3} \log{\left(4 \right)}}

Simplify

The graph