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x^3+4*x

Derivative of x^3+4*x

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

The graph:

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Piecewise:

The solution

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 3      
x  + 4*x
x3+4xx^{3} + 4 x
x^3 + 4*x
Detail solution
  1. Differentiate x3+4xx^{3} + 4 x term by term:

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

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

      1. Apply the power rule: xx goes to 11

      So, the result is: 44

    The result is: 3x2+43 x^{2} + 4


The answer is:

3x2+43 x^{2} + 4

The graph
02468-8-6-4-2-1010-20002000
The first derivative [src]
       2
4 + 3*x 
3x2+43 x^{2} + 4
The second derivative [src]
6*x
6x6 x
The third derivative [src]
6
66
The graph
Derivative of x^3+4*x