What is (\partial)/(\partial z)(sqrt(y-x)-z) ?

The answer to (\partial)/(\partial z)(sqrt(y-x)-z) is -1

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(\partial)/(\partial z)(sqrt(y-x)-z)

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

- 1

Solution steps

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

Treat

y, x

as constants

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial z} (y - x) - \frac{\partial}{\partial z} (z)

\frac{\partial}{\partial z} (y - x) = 0

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

= 0 - 1

Simplify

= - 1

What is (\partial)/(\partial z)(sqrt(y-x)-z) ?
The answer to (\partial)/(\partial z)(sqrt(y-x)-z) is -1