What is the d/(dy)(y^3sin(6x)) ?

The d/(dy)(y^3sin(6x)) is 3y^2sin(6x)

What is the first d/(dy)(y^3sin(6x)) ?

The first d/(dy)(y^3sin(6x)) is 3y^2sin(6x)

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\frac{d}{d y} (y^{3} sin (6 x))

3 y^{2} sin (6 x)

Solution steps

\frac{d}{d y} (y^{3} sin (6 x))

Treat

x

as a constant

Take the constant out:

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

= sin (6 x) \frac{d}{d y} (y^{3})

Apply the Power Rule:

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

= sin (6 x) \cdot 3 y^{3 - 1}

Simplify

= 3 y^{2} sin (6 x)

y = \frac{4}{( 3 x ) ^{3}} + 2 cos (x)

\int \frac{2 x - 3}{x ^{3} + 10 x} d x

\frac{d}{d x} ((\frac{x - 7}{x + 4})^{10})

\int sin (\frac{1}{6}) x sin (\frac{1}{12}) x d x

x \to 0 lim (\frac{3 e ^{x}}{x + 1})

What is the d/(dy)(y^3sin(6x)) ?
The d/(dy)(y^3sin(6x)) is 3y^2sin(6x)
What is the first d/(dy)(y^3sin(6x)) ?
The first d/(dy)(y^3sin(6x)) is 3y^2sin(6x)