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x^3-6x^2-9x

Derivative of x^3-6x^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  - 6*x  - 9*x
$$x^{3} - 6 x^{2} - 9 x$$
d / 3      2      \
--\x  - 6*x  - 9*x/
dx                 
$$\frac{d}{d x} \left(x^{3} - 6 x^{2} - 9 x\right)$$
Detail solution
  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. 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:

      So, the result is:

    3. The derivative of a constant times a function is the constant times the derivative of the function.

      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:

      So, the result is:

    The result is:


The answer is:

The graph
The first derivative [src]
               2
-9 - 12*x + 3*x 
$$3 x^{2} - 12 x - 9$$
The second derivative [src]
6*(-2 + x)
$$6 \left(x - 2\right)$$
The third derivative [src]
6
$$6$$
The graph
Derivative of x^3-6x^2-9x