What is (\partial)/(\partial x)(xy^4) ?

The answer to (\partial)/(\partial x)(xy^4) is y^4

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(\partial)/(\partial x)(xy^4)

\frac{\partial}{\partial x} (x y^{4})

y^{4}

Solution steps

\frac{\partial}{\partial x} (x y^{4})

Treat

y

as a constant

Take the constant out:

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

= y^{4} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= y^{4} \cdot 1

Simplify

= y^{4}

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\int \frac{2 x + 1}{x ^{2} - 1} d x

\int \frac{7}{3} d x

\frac{1}{x}, at x = 4

\frac{d}{d x} (cot (9) (1 - 2 x^{2}))

What is (\partial)/(\partial x)(xy^4) ?
The answer to (\partial)/(\partial x)(xy^4) is y^4