What is the d/(dy)((x)(-10x+2)) ?

The d/(dy)((x)(-10x+2)) is -20y+2

What is the first d/(dy)((x)(-10x+2)) ?

The first d/(dy)((x)(-10x+2)) is -20y+2

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\frac{d}{d y} ((y) (- 10 y + 2))

- 20 y + 2

Solution steps

\frac{d}{d y} ((y) (- 10 y + 2))

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = y, g = - 10 y + 2

= \frac{d y}{d y} (- 10 y + 2) + \frac{d}{d y} (- 10 y + 2) y

\frac{d y}{d y} = 1

\frac{d}{d y} (- 10 y + 2) = - 10

= 1 \cdot (- 10 y + 2) + (- 10) y

Simplify

1 \cdot (- 10 y + 2) + (- 10) y : - 20 y + 2

= - 20 y + 2

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