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

The answer to (\partial)/(\partial x)(x^3y^4) is 3x^2y^4

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(\partial)/(\partial x)(x^3y^4)

\frac{\partial}{\partial x} (x^{3} y^{4})

3 x^{2} y^{4}

Solution steps

\frac{\partial}{\partial x} (x^{3} y^{4})

Treat

y

as a constant

Take the constant out:

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

= y^{4} \frac{\partial}{\partial x} (x^{3})

Apply the Power Rule:

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

= y^{4} \cdot 3 x^{3 - 1}

Simplify

= 3 x^{2} y^{4}

\frac{x - 4}{x + 4}

\frac{\partial}{\partial x} ((x^{2} + y^{2}) ln (x y) + 5 y^{5} e^{3 x^{4} y})

x + 2

x \to - 2 + lim (- x - 2 + 4)

\frac{\partial}{\partial x} (3 - x^{2} - y^{2})

What is (\partial)/(\partial x)(x^3y^4) ?
The answer to (\partial)/(\partial x)(x^3y^4) is 3x^2y^4