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1/8x^8
The derivative of the function/ 1/8x^8

Derivative of 1/8x^8

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 8
x 
--
8
$$\frac{x^{8}}{8}$$
Transform
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] 
 7
x
$$x^{7}$$
Simplify
The second derivative [src] 
   6
7*x
$$7 x^{6}$$
Simplify
The third derivative [src] 
    5
42*x
$$42 x^{5}$$
Simplify
The graph
Derivative of 1/8x^8
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