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Derivative of y'=(4x^3-8x)

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

The graph:

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The solution

You have entered [src]
   3      
4*x  - 8*x
$$4 x^{3} - 8 x$$
4*x^3 - 8*x
Detail solution
  1. Differentiate 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: goes to

      So, the result is:

    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:

    The result is:


The answer is:

The graph
The first derivative [src]
         2
-8 + 12*x 
$$12 x^{2} - 8$$
The second derivative [src]
24*x
$$24 x$$
The third derivative [src]
24
$$24$$