What is the d/(dy)(0.2(y-p)) ?

The d/(dy)(0.2(y-p)) is 0.2(1-(dp)/(dy))

What is the first d/(dy)(0.2(y-p)) ?

The first d/(dy)(0.2(y-p)) is 0.2(1-(dp)/(dy))

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\frac{d}{d y} (0.2 (y - p))

0.2 (1 - \frac{d p}{d y})

Solution steps

\frac{d}{d y} (0.2 (y - p))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 0.2 \frac{d}{d y} (y - p)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= 0.2 (\frac{d y}{d y} - \frac{d p}{d y})

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

= 0.2 (1 - \frac{d p}{d y})

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What is the d/(dy)(0.2(y-p)) ?
The d/(dy)(0.2(y-p)) is 0.2(1-(dp)/(dy))
What is the first d/(dy)(0.2(y-p)) ?
The first d/(dy)(0.2(y-p)) is 0.2(1-(dp)/(dy))