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

The answer to (\partial)/(\partial y)(x^4y^4) is 4x^4y^3

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

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

4 x^{4} y^{3}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

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

= x^{4} \cdot 4 y^{4 - 1}

Simplify

= 4 x^{4} y^{3}

\int 3 χ^{5} χ^{3} + 1 d χ

n = 3 \sum \infty \frac{1}{n ln ( n )}

\int e^{2 x} (1 - 6 e^{2 x})^{2} d x

\int \frac{1}{y ^{2} + 4} d y

z

What is (\partial)/(\partial y)(x^4y^4) ?
The answer to (\partial)/(\partial y)(x^4y^4) is 4x^4y^3