What is the first d/(dy)((x)(x^2)) ?

The first d/(dy)((x)(x^2)) is 3y^2

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

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

3 y^{2}

Solution steps

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

Simplify

(y) (y^{2}) : y^{3}

= \frac{d}{d y} (y^{3})

Apply the Power Rule:

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

= 3 y^{3 - 1}

Simplify

= 3 y^{2}

β (1.1)

x + y + 3 x z + 3 yz

y^{12} - 8

20 x - 5 x^{2}

k^{2} + (2 k + 1)