What is (\partial)/(\partial x)((5x)/((3+y))) ?

The answer to (\partial)/(\partial x)((5x)/((3+y))) is 5/(3+y)

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(\partial)/(\partial x)((5x)/((3+y)))

\frac{\partial}{\partial x} (\frac{5 x}{( 3 + y )})

\frac{5}{3 + y}

Solution steps

\frac{\partial}{\partial x} (\frac{5 x}{( 3 + y )})

Treat

y

as a constant

Take the constant out:

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

= \frac{5}{3 + y} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{5}{3 + y} \cdot 1

Simplify

= \frac{5}{3 + y}

y^{^{''}} - 2 y^{^{'}} = 2 x

f (x) = x^{- \frac{2}{5}} + x^{\frac{2}{5}}

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

\int \frac{x - 2}{x ^{2} - 7 x + 12} d x

\frac{d y}{d x} = \frac{x ( 1 + y ^{2} )}{4 y}

What is (\partial)/(\partial x)((5x)/((3+y))) ?
The answer to (\partial)/(\partial x)((5x)/((3+y))) is 5/(3+y)