Mister Exam

Other calculators

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

Derivative of y-y^2

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

The graph:

from to

Piecewise:

The solution

You have entered [src] 
     2
y - y
−y2+y- y^{2} + y 
y - y^2
Detail solution

  1. Differentiate −y2+y- y^{2} + y term by term:

    1. Apply the power rule: yy 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: y2y^{2} goes to 2y2 y

      So, the result is: −2y- 2 y

    The result is: 1−2y1 - 2 y

The answer is:

1−2y1 - 2 y

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*y
1−2y1 - 2 y
Simplify
The second derivative [src] 
-2
−2-2
Simplify
The third derivative [src] 
0
00
Simplify
The graph
Derivative of y-y^2
    © Mister Exam – Calculator