What is (\partial)/(\partial y)(x^5y) ?

The answer to (\partial)/(\partial y)(x^5y) is x^5

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(\partial)/(\partial y)(x^5y)

\frac{\partial}{\partial y} (x^{5} y)

x^{5}

Solution steps

\frac{\partial}{\partial y} (x^{5} y)

Treat

x

as a constant

Take the constant out:

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

= x^{5} \frac{\partial}{\partial y} (y)

Apply the common derivative:

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

= x^{5} \cdot 1

Simplify

= x^{5}

\int cos (2 t) e^{- s t} d t

\frac{d}{d x} (\frac{f ( x )}{x ^{4}})

\frac{\partial}{\partial x} (2 x - 3 cos (x) + 10 y)

\frac{d}{d x} (\frac{8}{x} - \frac{2}{x ^{3}} + \frac{1}{x ^{4}})

x^{2} y^{^{''}} + 4 x y^{^{'}} + 2 y = 0

What is (\partial)/(\partial y)(x^5y) ?
The answer to (\partial)/(\partial y)(x^5y) is x^5