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Exercise

$\frac{dy}{dz}\left(z^2-8x^4y^{-\frac{1}{2}}=208x^{10}y^2-xz\right)$

Step-by-step Solution

1

Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number

$\frac{dy}{dz}z^2+x^4\frac{-8}{\sqrt{y}}=208x^{10}y^2-xz$

Final answer to the exercise

$\frac{dy}{dz}z^2+x^4\frac{-8}{\sqrt{y}}=208x^{10}y^2-xz$

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