Mister Exam

Derivative of 3*sqrt(x)

Function f() - derivative -N order at the point
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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
The first derivative [src]
   3   
-------
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2*\/ x 
32x\frac{3}{2 \sqrt{x}}
The second derivative [src]
 -3   
------
   3/2
4*x   
34x32- \frac{3}{4 x^{\frac{3}{2}}}
The third derivative [src]
  9   
------
   5/2
8*x   
98x52\frac{9}{8 x^{\frac{5}{2}}}
The graph
Derivative of 3*sqrt(x)