What is (\partial)/(\partial x)((18x)/((y+9z)^3)) ?

The answer to (\partial)/(\partial x)((18x)/((y+9z)^3)) is (18)/((y+9z)^3)

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(\partial)/(\partial x)((18x)/((y+9z)^3))

\frac{\partial}{\partial x} (\frac{18 x}{( y + 9 z ) ^{3}})

\frac{18}{( y + 9 z ) ^{3}}

Solution steps

\frac{\partial}{\partial x} (\frac{18 x}{( y + 9 z ) ^{3}})

Treat

y, z

as constants

Take the constant out:

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

= \frac{18}{( y + 9 z ) ^{3}} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= \frac{18}{( y + 9 z ) ^{3}} \cdot 1

Simplify

= \frac{18}{( y + 9 z ) ^{3}}

\int_{0}^{\infty} x^{0} e^{- x} d x

\frac{\partial}{\partial x} (x y (4 - y))

\int_{0}^{4} 2 t e^{- t} d t

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

\frac{\partial}{\partial x} (\frac{y}{x} ln (x))

What is (\partial)/(\partial x)((18x)/((y+9z)^3)) ?
The answer to (\partial)/(\partial x)((18x)/((y+9z)^3)) is (18)/((y+9z)^3)