What is (\partial}{\partial y}(\frac{8.31x)/y) ?

The answer to (\partial}{\partial y}(\frac{8.31x)/y) is -(8.31x)/(y^2)

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(\partial}{\partial y}(\frac{8.31x)/y)

\frac{\partial}{\partial y} (\frac{8.31 x}{y})

- \frac{8.31 x}{y ^{2}}

Solution steps

\frac{\partial}{\partial y} (\frac{8.31 x}{y})

Treat

x

as a constant

Take the constant out:

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

= 8.31 x \frac{\partial}{\partial y} (\frac{1}{y})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 8.31 x \frac{\partial}{\partial y} (y^{- 1})

Apply the Power Rule:

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

= 8.31 x (- 1 \cdot y^{- 1 - 1})

Simplify

8.31 x (- 1 \cdot y^{- 1 - 1}) : - \frac{8.31 x}{y ^{2}}

= - \frac{8.31 x}{y ^{2}}

x^{^{'}} = x^{2}

e^{2 t} cos (3 t + 5)

\frac{1}{4 + x}

z \to 0 lim (\frac{8}{z ^{3}} + \frac{5}{z} + 2)

\frac{d}{d x} (x^{5} - 2 x^{3} + x)

What is (\partial}{\partial y}(\frac{8.31x)/y) ?
The answer to (\partial}{\partial y}(\frac{8.31x)/y) is -(8.31x)/(y^2)