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Derivative of:
Derivative of x*e^x^2
Derivative of x/cos(x)
Derivative of (x+1)/(x-1)
Derivative of x^3-x^2
Integral of d{x}:
x^3-x^2
Graphing y =:
x^3-x^2
Factor polynomial:
x^3-x^2
Identical expressions
x^ three -x^ two
x cubed minus x squared
x to the power of three minus x to the power of two
x3-x2
x³-x²
x to the power of 3-x to the power of 2
Similar expressions
y=x^3-x^2
y=x^3-x^2-4x-8
x^3+x^2

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

Derivative of x^3-x^2

The solution

You have entered [src]

 3    2
x  - x

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

x^3 - x^2

Detail solution

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

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
-2*x + 3*x

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

Simplify

The second derivative [src]

2*(-1 + 3*x)

$$2 \left(3 x - 1\right)$$

Simplify

The third derivative [src]

$$6$$

Simplify

The graph

Derivative of x^3-x^2