Mister Exam

Lang:

The derivative of the function/ x-x^2

Derivative of x-x^2

The solution

You have entered [src]

     2
x - x

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

x - x^2

Detail solution

Differentiate $- x^{2} + x$ term by term:
1. Apply the power rule: $x$ goes to $1$
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: $1 - 2 x$

The answer is:

$1 - 2 x$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

1 - 2*x

$$1 - 2 x$$

Simplify

The second derivative [src]

-2

$$-2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of x-x^2