What is the d/(dy)(4sqrt(9-y)) ?

The d/(dy)(4sqrt(9-y)) is -2/(sqrt(9-y))

What is the first d/(dy)(4sqrt(9-y)) ?

The first d/(dy)(4sqrt(9-y)) is -2/(sqrt(9-y))

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\frac{d}{d y} (4 9 - y)

- \frac{2}{9 - y}

Solution steps

\frac{d}{d y} (4 9 - y)

Take the constant out:

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

= 4 \frac{d}{d y} (9 - y)

Apply the chain rule:

\frac{1}{2 9 - y} \frac{d}{d y} (9 - y)

= \frac{1}{2 9 - y} \frac{d}{d y} (9 - y)

\frac{d}{d y} (9 - y) = - 1

= 4 \cdot \frac{1}{2 9 - y} (- 1)

Simplify

4 \cdot \frac{1}{2 9 - y} (- 1) : - \frac{2}{9 - y}

= - \frac{2}{9 - y}

What is the d/(dy)(4sqrt(9-y)) ?
The d/(dy)(4sqrt(9-y)) is -2/(sqrt(9-y))
What is the first d/(dy)(4sqrt(9-y)) ?
The first d/(dy)(4sqrt(9-y)) is -2/(sqrt(9-y))