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Derivative of:
Derivative of cos(x/3)
Derivative of √x
Derivative of xcos(x)
Derivative of 2x^3-x^2
Integral of d{x}:
2x^3-x^2
Graphing y =:
2x^3-x^2
Identical expressions
two x^ three -x^2
2x cubed minus x squared
two x to the power of three minus x squared
2x3-x2
2x³-x²
2x to the power of 3-x to the power of 2
Similar expressions
2x^3+x^2

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

Derivative of 2x^3-x^2

The solution

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   3    2
2*x  - x

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

2*x^3 - x^2

Detail solution

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

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

The answer is:

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

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

          2
-2*x + 6*x

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

Simplify

The second derivative [src]

2*(-1 + 6*x)

$$2 \left(6 x - 1\right)$$

Simplify

The third derivative [src]

$$12$$

Simplify

The graph

Derivative of 2x^3-x^2