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3x^2+2x
The derivative of the function/ 3x^2+2x

Derivative of 3x^2+2x

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

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The solution

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   2      
3*x  + 2*x
3x2+2x3 x^{2} + 2 x 
3*x^2 + 2*x
Detail solution

  1. Differentiate 3x2+2x3 x^{2} + 2 x term by term:

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

      1. Apply the power rule: x2x^{2} goes to 2x2 x

      So, the result is: 6x6 x

    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: 22

    The result is: 6x+26 x + 2

The answer is:

6x+26 x + 2

The graph
02468-8-6-4-2-1010-500500
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
2 + 6*x
6x+26 x + 2
Simplify
The second derivative [src] 
6
66
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of 3x^2+2x
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