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Popular >

d/(dy)(y+2+y(y+2)/2-((y+2)^2)/4)

Solution

\frac{d}{d y} (y + 2 + y \frac{y + 2}{2} - \frac{( y + 2 ) ^{2}}{4})

Solution

\frac{y + 2}{2}

Solution steps

\frac{d}{d y} (y + 2 + y \frac{y + 2}{2} - \frac{( y + 2 ) ^{2}}{4})

Simplify

y + 2 + y \frac{y + 2}{2} - \frac{( y + 2 ) ^{2}}{4} : \frac{y ^{2} + 4 y - 4}{4} + 2

= \frac{d}{d y} (\frac{y ^{2} + 4 y - 4}{4} + 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d y} (\frac{y ^{2} + 4 y - 4}{4}) + \frac{d}{d y} (2)

\frac{d}{d y} (\frac{y ^{2} + 4 y - 4}{4}) = \frac{y + 2}{2}

\frac{d}{d y} (2) = 0

= \frac{y + 2}{2} + 0

Simplify

= \frac{y + 2}{2}

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e^{e^{x}} \to 0 lim (\frac{( e ^{x} ) ^{- 2}}{e ^{x}})

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\int_{0}^{N} e^{- s t} e^{4 t} d t

Frequently Asked Questions (FAQ)

What is the d/(dy)(y+2+y(y+2)/2-((y+2)^2)/4) ?
The d/(dy)(y+2+y(y+2)/2-((y+2)^2)/4) is (y+2)/2
What is the first d/(dy)(y+2+y(y+2)/2-((y+2)^2)/4) ?
The first d/(dy)(y+2+y(y+2)/2-((y+2)^2)/4) is (y+2)/2