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

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

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

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

2 z^{2} y^{2} x

Solution steps

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

Simplify

(z) (y^{2} x^{2} z) : z^{2} y^{2} x^{2}

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

Treat

z, y

as constants

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= z^{2} y^{2} \cdot 2 x^{2 - 1}

Simplify

= 2 z^{2} y^{2} x

6^{- 511}

(e^{x} + \frac{1}{e ^{x}}) (e^{x} + \frac{1}{e ^{x}})

π (125 - y^{2})^{2} 0.5

\frac{1}{2} \cdot (\frac{1}{s - 2} - \frac{1}{s}) \cdot e^{- 2 s}

44.31 e^{- 0.033 (0)}

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