Mister Exam

# Derivative of ln²x

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

from to

### 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 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
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