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

Derivative of x^3+x

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

The graph:

from to

Piecewise:

The solution

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

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

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

    2. Apply the power rule: xx goes to 11

    The result is: 3x2+13 x^{2} + 1

The answer is:

3x2+13 x^{2} + 1

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
3x2+13 x^{2} + 1
Simplify
The second derivative [src] 
6*x
6x6 x
Simplify
The third derivative [src] 
6
66
Simplify
The graph
Derivative of x^3+x
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