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x-x^3
The derivative of the function/ x-x^3

Derivative of x-x^3

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     3
x - x
$$- x^{3} + x$$ 
x - x^3
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. 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 result is:

The answer is:

The graph
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       2
1 - 3*x
$$1 - 3 x^{2}$$
Simplify
The second derivative [src] 
-6*x
$$- 6 x$$
Simplify
The third derivative [src] 
-6
$$-6$$
Simplify
The graph
Derivative of x-x^3
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