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

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

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

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

- 1

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

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

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

= 0 - 1

Simplify

= - 1

x \to 5 lim (\frac{1}{x ^{2} + 1})

g (x) = x^{2} + 6 x^{3}

\frac{\partial}{\partial x} (7 x^{2} y + 6 x y^{3})

\frac{d y}{d x} = \frac{sin ( x )}{y}

y = x^{2} - 4 x, y = - x^{2} + 4 x

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