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Popular >

d/(dy)((x)(6x^3+2x+9))

Solution

\frac{d}{d y} ((y) (6 y^{3} + 2 y + 9))

Solution

24 y^{3} + 4 y + 9

Solution steps

\frac{d}{d y} ((y) (6 y^{3} + 2 y + 9))

Apply the Product Rule:

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

f = y, g = 6 y^{3} + 2 y + 9

= \frac{d y}{d y} (6 y^{3} + 2 y + 9) + \frac{d}{d y} (6 y^{3} + 2 y + 9) y

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

\frac{d}{d y} (6 y^{3} + 2 y + 9) = 18 y^{2} + 2

= 1 \cdot (6 y^{3} + 2 y + 9) + (18 y^{2} + 2) y

Simplify

1 \cdot (6 y^{3} + 2 y + 9) + (18 y^{2} + 2) y : 24 y^{3} + 4 y + 9

= 24 y^{3} + 4 y + 9

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Frequently Asked Questions (FAQ)

What is the d/(dy)((x)(6x^3+2x+9)) ?
The d/(dy)((x)(6x^3+2x+9)) is 24y^3+4y+9
What is the first d/(dy)((x)(6x^3+2x+9)) ?
The first d/(dy)((x)(6x^3+2x+9)) is 24y^3+4y+9