Mister Exam

Other calculators

Derivative of sqrt^(5/1)

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 / 2\
 \5 /
t    
$$t^{5^{2}}$$
t^(5^2)
Detail solution
  1. Apply the power rule: goes to

  2. Now simplify:


The answer is:

The graph
The first derivative [src]
    / 2\
    \5 /
25*t    
--------
   t    
$$\frac{25 t^{5^{2}}}{t}$$
The second derivative [src]
     23
600*t  
$$600 t^{23}$$
The third derivative [src]
       22
13800*t  
$$13800 t^{22}$$