What is the first d/(dy)((x(y))(8y)) ?

The first d/(dy)((x(y))(8y)) is 16xy

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d/(dy)((x(y))(8y))

\frac{d}{d y} ((x (y)) (8 y))

16 x y

Solution steps

\frac{d}{d y} ((x (y)) (8 y))

Simplify

(x (y)) (8 y) : 8 x y^{2}

= \frac{d}{d y} (8 x y^{2})

Treat

x

as a constant

Take the constant out:

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

= 8 x \frac{d}{d y} (y^{2})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 8 x \cdot 2 y^{2 - 1}

Simplify

= 16 x y

22 + 2 i 2

4 x (2 - 1) + (2 x - 1)^{2}

(4 m + 7 n) (4 m + 7 n)

(z - 3)^{3} + 8

2 x - 0.2 x + 3