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Derivative of:
Derivative of (x+1)/x
Derivative of sqrt(cos(x))
Derivative of sen2x
Derivative of ln(ln(x))
Identical expressions
- two / three x^3+ two x^2-x2x
minus 2 divide by 3x cubed plus 2x squared minus x2x
minus two divide by three x cubed plus two x squared minus x2x
-2/3x3+2x2-x2x
-2/3x³+2x²-x2x
-2/3x to the power of 3+2x to the power of 2-x2x
-2 divide by 3x^3+2x^2-x2x
Similar expressions
-2/3x^3+2x^2+x2x
2/3x^3+2x^2-x2x
-2/3x^3-2x^2-x2x
What you mean?
-3251035981008077*x^3/140737488355328 + 2*x^2 - x^2*x

The derivative of the function/ -2/3x^3+2x^2-x2x

You entered:

-2/3x^3+2x^2-x2x

What you mean?

-3251035981008077*x^3/140737488355328 + 2*x^2 - x^2*x

Derivative of -2/3x^3+2x^2-x2x

The solution

You have entered [src]

     3              
  2*x       2       
- ---- + 2*x  - x2*x
   3

$$- \frac{2 x^{3}}{3} + 2 x^{2} - x x_{2}$$

  /     3              \
d |  2*x       2       |
--|- ---- + 2*x  - x2*x|
dx\   3                /

$$\frac{\partial}{\partial x} \left(- \frac{2 x^{3}}{3} + 2 x^{2} - x x_{2}\right)$$

Transform

Detail solution

Differentiate $- \frac{2 x^{3}}{3} + 2 x^{2} - x x_{2}$ 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: $- 2 x^{2}$
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: $4 x$
3. The derivative of a constant times a function is the constant times the derivative of the function.
  1. The derivative of a constant times a function is the constant times the derivative of the function.
    1. Apply the power rule: $x$ goes to $1$
    So, the result is: $x_{2}$
  So, the result is: $- x_{2}$
The result is: $- 2 x^{2} + 4 x - x_{2}$

The answer is:

$- 2 x^{2} + 4 x - x_{2}$

The first derivative [src]

         2      
-x2 - 2*x  + 4*x

$$- 2 x^{2} + 4 x - x_{2}$$

Simplify

The second derivative [src]

4*(1 - x)

$$4 \cdot \left(- x + 1\right)$$

Simplify

The third derivative [src]

-4

$$-4$$

Simplify