Mister Exam

Other calculators

The derivative of the function/ 16sqrtx

Derivative of 16sqrtx

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     ___
16*\/ x
$$16 \sqrt{x}$$ 
16*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] 
  8  
-----
  ___
\/ x
$$\frac{8}{\sqrt{x}}$$
Simplify
The second derivative [src] 
-4  
----
 3/2
x
$$- \frac{4}{x^{\frac{3}{2}}}$$
Simplify
The third derivative [src] 
 6  
----
 5/2
x
$$\frac{6}{x^{\frac{5}{2}}}$$
Simplify
    © Mister Exam – Calculator