Mister Exam

Lang:

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

Derivative of -y-y^2

The solution

You have entered [src]

      2
-y - y

$$- y^{2} - y$$

d /      2\
--\-y - y /
dy

$$\frac{d}{d y} \left(- y^{2} - y\right)$$

Transform

Detail solution

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

The answer is:

$- 2 y - 1$

The graph

Plot the graph f(x)

Plot the graph f'(x)

The first derivative [src]

-1 - 2*y

$$- 2 y - 1$$

Simplify

The second derivative [src]

-2

$$-2$$

Simplify

The third derivative [src]

$$0$$

Simplify

The graph

Derivative of -y-y^2