What is (\partial)/(\partial x)(x/(y+8z)) ?

The answer to (\partial)/(\partial x)(x/(y+8z)) is 1/(y+8z)

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(\partial)/(\partial x)(x/(y+8z))

\frac{\partial}{\partial x} (\frac{x}{y + 8 z})

\frac{1}{y + 8 z}

Solution steps

\frac{\partial}{\partial x} (\frac{x}{y + 8 z})

Treat

y, z

as constants

Take the constant out:

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

= \frac{1}{y + 8 z} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{1}{y + 8 z} \cdot 1

Simplify

= \frac{1}{y + 8 z}

\int_{1}^{\infty} 6 e^{- 3 x} d x

u^{\frac{1}{2}}

\int_{0}^{4} 3 e^{- 2 x} d x

\frac{\partial}{\partial x} (x^{1} x^{2} + 10 x^{1})

y^{3} - (18 x + 8) + 3 x y^{2} (\frac{d y}{d x}) = 0

What is (\partial)/(\partial x)(x/(y+8z)) ?
The answer to (\partial)/(\partial x)(x/(y+8z)) is 1/(y+8z)