Derivative of y+y^2

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     2
y + y

$$y^{2} + y$$

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

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

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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:

$2 y + 1$

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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