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Popular >

d/(dy)((x)(84x-x^2))

Solution

\frac{d}{d y} ((y) (84 y - y^{2}))

Solution

- 3 y^{2} + 168 y

Solution steps

\frac{d}{d y} ((y) (84 y - y^{2}))

Apply the Product Rule:

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

f = y, g = 84 y - y^{2}

= \frac{d y}{d y} (84 y - y^{2}) + \frac{d}{d y} (84 y - y^{2}) y

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

\frac{d}{d y} (84 y - y^{2}) = 84 - 2 y

= 1 \cdot (84 y - y^{2}) + (84 - 2 y) y

Simplify

1 \cdot (84 y - y^{2}) + (84 - 2 y) y : - 3 y^{2} + 168 y

= - 3 y^{2} + 168 y

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Frequently Asked Questions (FAQ)

What is the d/(dy)((x)(84x-x^2)) ?
The d/(dy)((x)(84x-x^2)) is -3y^2+168y
What is the first d/(dy)((x)(84x-x^2)) ?
The first d/(dy)((x)(84x-x^2)) is -3y^2+168y