Mister Exam

Derivative of z^4

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 4
z 
z4z^{4}
d / 4\
--\z /
dz    
ddzz4\frac{d}{d z} z^{4}
Detail solution
  1. Apply the power rule: z4z^{4} goes to 4z34 z^{3}


The answer is:

4z34 z^{3}

The graph
02468-8-6-4-2-1010-2000020000
The first derivative [src]
   3
4*z 
4z34 z^{3}
The second derivative [src]
    2
12*z 
12z212 z^{2}
The third derivative [src]
24*z
24z24 z
The graph
Derivative of z^4