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Derivative of:
Derivative of z
Derivative of x^2*atanh(x)*acoth(x)
Derivative of -cos(x)
Derivative of -4
Graphing y =:
x^3-4x^2
Identical expressions
x^ three -4x^ two
x cubed minus 4x squared
x to the power of three minus 4x to the power of two
x3-4x2
x³-4x²
x to the power of 3-4x to the power of 2
Similar expressions
2*x^3-4*x^2-5*x+3
x^3+4x^2
(x^3-4x^2+3)^7

The derivative of the function/ x^3-4x^2

Derivative of x^3-4x^2

The solution

You have entered [src]

 3      2
x  - 4*x

$$x^{3} - 4 x^{2}$$

Transform

Detail solution

Differentiate $x^{3} - 4 x^{2}$ 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: $- 8 x$
The result is: $3 x^{2} - 8 x$
Now simplify:

$x \left(3 x - 8\right)$

The answer is:

$x \left(3 x - 8\right)$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
-8*x + 3*x

$$3 x^{2} - 8 x$$

Simplify

The second derivative [src]

2*(-4 + 3*x)

$$2 \left(3 x - 4\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-4x^2