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-(ln(x))^2
The derivative of the function/ -(ln(x))^2

Derivative of -(ln(x))^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
    2   
-log (x)
$$- \log{\left(x \right)}^{2}$$ 
d /    2   \
--\-log (x)/
dx
$$\frac{d}{d x} \left(- \log{\left(x \right)}^{2}\right)$$
Transform
Detail solution

  1. The derivative of a constant times a function is the constant times the derivative of the function.

    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:

    So, the result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
-2*log(x)
---------
    x
$$- \frac{2 \log{\left(x \right)}}{x}$$
Simplify
The second derivative [src] 
2*(-1 + log(x))
---------------
        2      
       x
$$\frac{2 \left(\log{\left(x \right)} - 1\right)}{x^{2}}$$
Simplify
The third derivative [src] 
-2*(-3 + 2*log(x))
------------------
         3        
        x
$$- \frac{2 \cdot \left(2 \log{\left(x \right)} - 3\right)}{x^{3}}$$
Simplify
The graph
Derivative of -(ln(x))^2
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