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lnx^3-1
The derivative of the function/ lnx^3-1

Derivative of lnx^3-1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
   3       
log (x) - 1
$$\log{\left(x \right)}^{3} - 1$$
Transform
Detail solution

  1. Differentiate term by term:

    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:

    4. The derivative of the constant is zero.

    The result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     2   
3*log (x)
---------
    x
$$\frac{3 \log{\left(x \right)}^{2}}{x}$$
Simplify
The second derivative [src] 
3*(2 - log(x))*log(x)
---------------------
           2         
          x
$$\frac{3 \left(2 - \log{\left(x \right)}\right) \log{\left(x \right)}}{x^{2}}$$
Simplify
3-я производная [src] 
  /       2              \
6*\1 + log (x) - 3*log(x)/
--------------------------
             3            
            x
$$\frac{6 \left(\log{\left(x \right)}^{2} - 3 \log{\left(x \right)} + 1\right)}{x^{3}}$$
Simplify
The third derivative [src] 
  /       2              \
6*\1 + log (x) - 3*log(x)/
--------------------------
             3            
            x
$$\frac{6 \left(\log{\left(x \right)}^{2} - 3 \log{\left(x \right)} + 1\right)}{x^{3}}$$
Simplify
The graph
Derivative of lnx^3-1
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