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x^3+3x+1
The derivative of the function/ x^3+3x+1

Derivative of x^3+3x+1

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
 3          
x  + 3*x + 1
$$x^{3} + 3 x + 1$$ 
d / 3          \
--\x  + 3*x + 1/
dx
$$\frac{d}{d x} \left(x^{3} + 3 x + 1\right)$$
Transform
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:

    3. The derivative of the constant is zero.

    The result is:

The answer is:

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