What is (\partial)/(\partial x)(x/(y+2z)) ?

The answer to (\partial)/(\partial x)(x/(y+2z)) is 1/(y+2z)

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(\partial)/(\partial x)(x/(y+2z))

\frac{\partial}{\partial x} (\frac{x}{y + 2 z})

\frac{1}{y + 2 z}

Solution steps

\frac{\partial}{\partial x} (\frac{x}{y + 2 z})

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{1}{y + 2 z} \cdot 1

Simplify

= \frac{1}{y + 2 z}

\int e^{- \frac{y}{2}} d y

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\frac{1}{8} (e^{4 x} + e^{- 4 x})

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\int_{- π}^{π} x sin (n x) d x

What is (\partial)/(\partial x)(x/(y+2z)) ?
The answer to (\partial)/(\partial x)(x/(y+2z)) is 1/(y+2z)