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

The answer to (\partial)/(\partial x)(x/(y+5z)) is 1/(y+5z)

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

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

\frac{1}{y + 5 z}

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

= \frac{1}{y + 5 z} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

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

Simplify

= \frac{1}{y + 5 z}

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

(- 3 x + 28)^{\frac{5}{4}}

\int_{0}^{7} \frac{1}{49 + x ^{2}} d x

\frac{\partial}{\partial x} (3 y^{5} x^{2} + 8 y x^{3})

x \to 3 - lim (\frac{7 - x - 4}{x - 3})

What is (\partial)/(\partial x)(x/(y+5z)) ?
The answer to (\partial)/(\partial x)(x/(y+5z)) is 1/(y+5z)