What is (\partial)/(\partial y)(x^3y) ?

The answer to (\partial)/(\partial y)(x^3y) is x^3

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(\partial)/(\partial y)(x^3y)

\frac{\partial}{\partial y} (x^{3} y)

x^{3}

Solution steps

\frac{\partial}{\partial y} (x^{3} y)

Treat

x

as a constant

Take the constant out:

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

= x^{3} \frac{\partial}{\partial y} (y)

Apply the common derivative:

\frac{\partial}{\partial y} (y) = 1

= x^{3} \cdot 1

Simplify

= x^{3}

\frac{1}{( z + 1 ) ^{3}}

\frac{d}{d x} (x^{2} + x + 3)

(x^{4} + y^{2}) d x - x y d y = 0

\int (tan (θ)) d θ

x \to 0 lim (\frac{sin ( π x )}{x})

What is (\partial)/(\partial y)(x^3y) ?
The answer to (\partial)/(\partial y)(x^3y) is x^3