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3*sqrt(x)
The derivative of the function/ 3*sqrt(x)

Derivative of 3*sqrt(x)

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
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3*\/ x
3x3 \sqrt{x} 
3*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: x\sqrt{x} goes to 12x\frac{1}{2 \sqrt{x}}

    So, the result is: 32x\frac{3}{2 \sqrt{x}}

The answer is:

32x\frac{3}{2 \sqrt{x}}

The graph
02468-8-6-4-2-1010010
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
   3   
-------
    ___
2*\/ x
32x\frac{3}{2 \sqrt{x}}
Simplify
The second derivative [src] 
 -3   
------
   3/2
4*x
−34x32- \frac{3}{4 x^{\frac{3}{2}}}
Simplify
The third derivative [src] 
  9   
------
   5/2
8*x
98x52\frac{9}{8 x^{\frac{5}{2}}}
Simplify
The graph
Derivative of 3*sqrt(x)
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