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Derivative of:
Derivative of (x^5+1)
Derivative of x^sqrt(x)
Derivative of log(x+2)
Derivative of ln1
Integral of d{x}:
(x^2-x)/2
Identical expressions
(x^ two -x)/ two
(x squared minus x) divide by 2
(x to the power of two minus x) divide by two
(x2-x)/2
x2-x/2
(x²-x)/2
(x to the power of 2-x)/2
x^2-x/2
(x^2-x) divide by 2
Similar expressions
(x^2+x)/2

The derivative of the function/ (x^2-x)/2

Derivative of (x^2-x)/2

The solution

You have entered [src]

 2    
x  - x
------
  2

$$\frac{x^{2} - x}{2}$$

(x^2 - x)/2

Detail solution

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

The answer is:

$x - \frac{1}{2}$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-1/2 + x

$$x - \frac{1}{2}$$

Simplify

The second derivative [src]

$$1$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of (x^2-x)/2