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Popular >

d/(dy)((x(y))(y-1))

Solution

\frac{d}{d y} ((x (y)) (y - 1))

Solution

x (2 y - 1)

Solution steps

\frac{d}{d y} ((x (y)) (y - 1))

Treat

x

as a constant

Take the constant out:

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

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

Apply the Product Rule:

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

f = y, g = y - 1

= x (\frac{d y}{d y} (y - 1) + \frac{d}{d y} (y - 1) y)

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

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

= x (1 \cdot (y - 1) + 1 \cdot y)

Simplify

x (1 \cdot (y - 1) + 1 \cdot y) : x (2 y - 1)

= x (2 y - 1)

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Frequently Asked Questions (FAQ)

What is the d/(dy)((x(y))(y-1)) ?
The d/(dy)((x(y))(y-1)) is x(2y-1)
What is the first d/(dy)((x(y))(y-1)) ?
The first d/(dy)((x(y))(y-1)) is x(2y-1)