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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:

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The solution

You have entered [src] 
     3
x - x
−x3+x- x^{3} + x 
x - x^3
Detail solution

  1. Differentiate −x3+x- x^{3} + x term by term:

    1. Apply the power rule: xx goes to 11

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: x3x^{3} goes to 3x23 x^{2}

      So, the result is: −3x2- 3 x^{2}

    The result is: 1−3x21 - 3 x^{2}

The answer is:

1−3x21 - 3 x^{2}

The graph
02468-8-6-4-2-1010-20002000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
       2
1 - 3*x
1−3x21 - 3 x^{2}
Simplify
The second derivative [src] 
-6*x
−6x- 6 x
Simplify
The third derivative [src] 
-6
−6-6
Simplify
The graph
Derivative of x-x^3
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