Mister Exam

Other calculators

2^3*sqrt(x)
The derivative of the function/ 2^3*sqrt(x)

Derivative of 2^3*sqrt(x)

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

The graph:

from to

Piecewise:

The solution

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