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log(6*sqrt(x))

Derivative of log(6*sqrt(x))

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
   /    ___\
log\6*\/ x /
$$\log{\left(6 \sqrt{x} \right)}$$
log(6*sqrt(x))
Detail solution
  1. Let .

  2. The derivative of is .

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

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

      1. Apply the power rule: goes to

      So, the result is:

    The result of the chain rule is:


The answer is:

The graph
The first derivative [src]
 1 
---
2*x
$$\frac{1}{2 x}$$
The second derivative [src]
-1  
----
   2
2*x 
$$- \frac{1}{2 x^{2}}$$
The third derivative [src]
1 
--
 3
x 
$$\frac{1}{x^{3}}$$
The graph
Derivative of log(6*sqrt(x))