Mister Exam

Derivative of ln(x^3)

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

The graph:

from to

Piecewise:

The solution

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


The answer is:

The graph
The first derivative [src]
3
-
x
$$\frac{3}{x}$$
The second derivative [src]
-3 
---
  2
 x 
$$- \frac{3}{x^{2}}$$
The third derivative [src]
6 
--
 3
x 
$$\frac{6}{x^{3}}$$
The graph
Derivative of ln(x^3)