What is (\partial)/(\partial x)(((x^2))/(y+3)) ?

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

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(\partial)/(\partial x)(((x^2))/(y+3))

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

\frac{2 x}{y + 3}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

= \frac{1}{y + 3} \frac{\partial}{\partial x} (x^{2})

Apply the Power Rule:

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

= \frac{1}{y + 3} \cdot 2 x^{2 - 1}

Simplify

\frac{1}{y + 3} \cdot 2 x^{2 - 1} : \frac{2 x}{y + 3}

= \frac{2 x}{y + 3}

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