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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
$$x^{3} + x$$ 
d /     3\
--\x + x /
dx
$$\frac{d}{d x} \left(x^{3} + x\right)$$
Transform
Detail solution

  1. Differentiate term by term:

    1. Apply the power rule: goes to

    2. Apply the power rule: goes to

    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
$$3 x^{2} + 1$$
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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