Mister Exam

Other calculators

(12log(x))/(log(2))^2
The derivative of the function/ (12log(x))/(log(2))^2

Derivative of (12log(x))/(log(2))^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
12*log(x)
---------
    2    
 log (2)
12log⁡(x)log⁡(2)2\frac{12 \log{\left(x \right)}}{\log{\left(2 \right)}^{2}} 
d /12*log(x)\
--|---------|
dx|    2    |
  \ log (2) /
ddx12log⁡(x)log⁡(2)2\frac{d}{d x} \frac{12 \log{\left(x \right)}}{\log{\left(2 \right)}^{2}}
Transform
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: 12xlog⁡(2)2\frac{12}{x \log{\left(2 \right)}^{2}}

The answer is:

12xlog⁡(2)2\frac{12}{x \log{\left(2 \right)}^{2}}

The graph
02468-8-6-4-2-1010-500500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    12   
---------
     2   
x*log (2)
12xlog⁡(2)2\frac{12}{x \log{\left(2 \right)}^{2}}
Simplify
The second derivative [src] 
   -12    
----------
 2    2   
x *log (2)
−12x2log⁡(2)2- \frac{12}{x^{2} \log{\left(2 \right)}^{2}}
Simplify
The third derivative [src] 
    24    
----------
 3    2   
x *log (2)
24x3log⁡(2)2\frac{24}{x^{3} \log{\left(2 \right)}^{2}}
Simplify
The graph
Derivative of (12log(x))/(log(2))^2
    © Mister Exam – Calculator