Mister Exam

Other calculators

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

Derivative of x-x^2

Function f() - derivative -N order at the point
v

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     2
x - x
−x2+x- x^{2} + x 
x - x^2
Detail solution

  1. Differentiate −x2+x- x^{2} + x term by term:

    1. Apply the power rule: xx goes to 11

    2. The derivative of a constant times a function is the constant times the derivative of the function.

      1. Apply the power rule: x2x^{2} goes to 2x2 x

      So, the result is: −2x- 2 x

    The result is: 1−2x1 - 2 x

The answer is:

1−2x1 - 2 x

The graph
02468-8-6-4-2-1010-200100
Plot the graph f(x)
Plot the graph f'(x)
The first derivative [src] 
1 - 2*x
1−2x1 - 2 x
Simplify
The second derivative [src] 
-2
−2-2
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of x-x^2
    © Mister Exam – Calculator