Mister Exam

Derivative of 9sqrtx

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
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9*\/ x 
$$9 \sqrt{x}$$
9*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
The first derivative [src]
   9   
-------
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2*\/ x 
$$\frac{9}{2 \sqrt{x}}$$
The second derivative [src]
 -9   
------
   3/2
4*x   
$$- \frac{9}{4 x^{\frac{3}{2}}}$$
The third derivative [src]
  27  
------
   5/2
8*x   
$$\frac{27}{8 x^{\frac{5}{2}}}$$