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

Derivative of 2x^3+3x^3

Function f() - derivative -N order at the point
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The solution

You have entered [src] 
   3      3
2*x  + 3*x
2x3+3x32 x^{3} + 3 x^{3} 
2*x^3 + 3*x^3
Detail solution

  1. Differentiate 2x3+3x32 x^{3} + 3 x^{3} 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: x3x^{3} goes to 3x23 x^{2}

      So, the result is: 6x26 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: x3x^{3} goes to 3x23 x^{2}

      So, the result is: 9x29 x^{2}

    The result is: 15x215 x^{2}

The answer is:

15x215 x^{2}

The graph
02468-8-6-4-2-1010-1000010000
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
    2
15*x
15x215 x^{2}
Simplify
The second derivative [src] 
30*x
30x30 x
Simplify
The third derivative [src] 
30
3030
Simplify
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