Mister Exam

Derivative of ln²x

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

The graph:

from to

Enter:

The solution

You have entered [src]
   2   
log (x)
$$\log{\left(x \right)}^{2}$$
Detail solution
  1. Let .

  2. Apply the power rule: goes to

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

    1. The derivative of is .

    The result of the chain rule is:


The answer is:

The graph
The first derivative [src]
2*log(x)
--------
   x    
$$\frac{2 \log{\left(x \right)}}{x}$$
The second derivative [src]
2*(1 - log(x))
--------------
       2      
      x       
$$\frac{2 \left(1 - \log{\left(x \right)}\right)}{x^{2}}$$
The third derivative [src]
2*(-3 + 2*log(x))
-----------------
         3       
        x        
$$\frac{2 \left(2 \log{\left(x \right)} - 3\right)}{x^{3}}$$
The graph
Derivative of ln²x
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