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log(x^2)/log(2)

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

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   / 2\
log\x /
-------
 log(2)
$$\frac{\log{\left(x^{2} \right)}}{\log{\left(2 \right)}}$$
  /   / 2\\
d |log\x /|
--|-------|
dx\ log(2)/
$$\frac{d}{d x} \frac{\log{\left(x^{2} \right)}}{\log{\left(2 \right)}}$$
Detail solution
  1. The derivative of a constant times a function is the constant times the derivative of the function.

    1. Let .

    2. The derivative of is .

    3. Then, apply the chain rule. Multiply by :

      1. Apply the power rule: goes to

      The result of the chain rule is:

    So, the result is:


The answer is:

The graph
The first derivative [src]
   2    
--------
x*log(2)
$$\frac{2}{x \log{\left(2 \right)}}$$
The second derivative [src]
   -2    
---------
 2       
x *log(2)
$$- \frac{2}{x^{2} \log{\left(2 \right)}}$$
The third derivative [src]
    4    
---------
 3       
x *log(2)
$$\frac{4}{x^{3} \log{\left(2 \right)}}$$
The graph
Derivative of log(x^2)/log(2)