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6x^3-3
The derivative of the function/ 6x^3-3

Derivative of 6x^3-3

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

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The solution

You have entered [src] 
   3    
6*x  - 3
6x3−36 x^{3} - 3
Transform
Detail solution

  1. Differentiate 6x3−36 x^{3} - 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: 18x218 x^{2}

    2. The derivative of the constant −3-3 is zero.

    The result is: 18x218 x^{2}

The answer is:

18x218 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
18*x
18x218 x^{2}
Simplify
The second derivative [src] 
36*x
36x36 x
Simplify
The third derivative [src] 
36
3636
Simplify
The graph
Derivative of 6x^3-3
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