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x^3+3x^2-9x

Derivative of x^3+3x^2-9x

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

The graph:

from to

Piecewise:

The solution

You have entered [src]
 3      2      
x  + 3*x  - 9*x
$$- 9 x + \left(x^{3} + 3 x^{2}\right)$$
x^3 + 3*x^2 - 9*x
Detail solution
  1. Differentiate term by term:

    1. Differentiate term by term:

      1. Apply the power rule: goes to

      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. 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      
-9 + 3*x  + 6*x
$$3 x^{2} + 6 x - 9$$
The second derivative [src]
6*(1 + x)
$$6 \left(x + 1\right)$$
The third derivative [src]
6
$$6$$
The graph
Derivative of x^3+3x^2-9x