Mister Exam

Other calculators

y=x^256
The derivative of the function/ y=x^256

Derivative of y=x^256

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 256
x
$$x^{256}$$ 
x^256
Detail solution

  1. Apply the power rule: goes to

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
     255
256*x
$$256 x^{255}$$
Simplify
The second derivative [src] 
       254
65280*x
$$65280 x^{254}$$
Simplify
The third derivative [src] 
          253
16581120*x
$$16581120 x^{253}$$
Simplify
The graph
Derivative of y=x^256
    © Mister Exam – Calculator