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x^3-3*x^2

Derivative of x^3-3*x^2

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

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Piecewise:

The solution

You have entered [src]
 3      2
x  - 3*x 
x33x2x^{3} - 3 x^{2}
x^3 - 3*x^2
Detail solution
  1. Differentiate x33x2x^{3} - 3 x^{2} term by term:

    1. Apply the power rule: x3x^{3} goes to 3x23 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: x2x^{2} goes to 2x2 x

      So, the result is: 6x- 6 x

    The result is: 3x26x3 x^{2} - 6 x

  2. Now simplify:

    3x(x2)3 x \left(x - 2\right)


The answer is:

3x(x2)3 x \left(x - 2\right)

The graph
02468-8-6-4-2-1010-20002000
The first derivative [src]
          2
-6*x + 3*x 
3x26x3 x^{2} - 6 x
The second derivative [src]
6*(-1 + x)
6(x1)6 \left(x - 1\right)
The third derivative [src]
6
66
The graph
Derivative of x^3-3*x^2