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6*sqrt(x)
The derivative of the function/ 6*sqrt(x)

Derivative of 6*sqrt(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
    ___
6*\/ x
$$6 \sqrt{x}$$ 
6*sqrt(x)
Detail solution

  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 answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
  3  
-----
  ___
\/ x
$$\frac{3}{\sqrt{x}}$$
Simplify
The second derivative [src] 
 -3   
------
   3/2
2*x
$$- \frac{3}{2 x^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
  9   
------
   5/2
4*x
$$\frac{9}{4 x^{\frac{5}{2}}}$$
Simplify
The graph
Derivative of 6*sqrt(x)
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