Derivative of y+y^2

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. Apply the power rule: $y$ goes to $1$
2. Apply the power rule: $y^{2}$ goes to $2 y$
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

Simplify

The third derivative [src]

0

Simplify

The graph