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Derivative of 2x^3-3x^2

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

The graph:

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Piecewise:

The solution

You have entered [src]
   3      2
2*x  - 3*x 
$$2 x^{3} - 3 x^{2}$$
2*x^3 - 3*x^2
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:

  2. Now simplify:


The answer is:

The graph
The first derivative [src]
          2
-6*x + 6*x 
$$6 x^{2} - 6 x$$
The second derivative [src]
6*(-1 + 2*x)
$$6 \left(2 x - 1\right)$$
The third derivative [src]
12
$$12$$