What is (\partial)/(\partial x)((4x)/(5+y)) ?

The answer to (\partial)/(\partial x)((4x)/(5+y)) is 4/(5+y)

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(\partial)/(\partial x)((4x)/(5+y))

\frac{\partial}{\partial x} (\frac{4 x}{5 + y})

\frac{4}{5 + y}

Solution steps

\frac{\partial}{\partial x} (\frac{4 x}{5 + y})

Treat

y

as a constant

Take the constant out:

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

= \frac{4}{5 + y} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{4}{5 + y} \cdot 1

Simplify

= \frac{4}{5 + y}

\frac{1}{c + k e ^{c}}

y^{^{''}} - 8 y^{^{'}} + 16 y = \frac{( 10.5 e ^{4 t} )}{( t ^{2} + 1 )}

55.6 - 22.1 v^{0.16}

(\frac{t ^{3}}{3})^{^{'}}

x \to 4 lim (\frac{x ^{3} + 8}{x + 2})

What is (\partial)/(\partial x)((4x)/(5+y)) ?
The answer to (\partial)/(\partial x)((4x)/(5+y)) is 4/(5+y)