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Graphing y =:
x^3-6x^2
Identical expressions
x^ three -6x^ two
x cubed minus 6x squared
x to the power of three minus 6x to the power of two
x3-6x2
x³-6x²
x to the power of 3-6x to the power of 2
Similar expressions
x^3+6x^2
-сbrt(x^3-6x^2)

The derivative of the function/ x^3-6x^2

Derivative of x^3-6x^2

The solution

You have entered [src]

 3      2
x  - 6*x

$$x^{3} - 6 x^{2}$$

x^3 - 6*x^2

Detail solution

Differentiate $x^{3} - 6 x^{2}$ term by term:
1. Apply the power rule: $x^{3}$ goes to $3 x^{2}$
2. The derivative of a constant times a function is the constant times the derivative of the function.
  1. Apply the power rule: $x^{2}$ goes to $2 x$
  So, the result is: $- 12 x$
The result is: $3 x^{2} - 12 x$
Now simplify:

$3 x \left(x - 4\right)$

The answer is:

$3 x \left(x - 4\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

           2
-12*x + 3*x

$$3 x^{2} - 12 x$$

Simplify

The second derivative [src]

6*(-2 + x)

$$6 \left(x - 2\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-6x^2