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x^3-6x^2+5

Derivative of x^3-6x^2+5

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  + 5
$$\left(x^{3} - 6 x^{2}\right) + 5$$
x^3 - 6*x^2 + 5
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 the constant is zero.

    The result is:

  2. Now simplify:


The answer is:

The graph
The first derivative [src]
           2
-12*x + 3*x 
$$3 x^{2} - 12 x$$
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+5