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

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

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

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

\frac{1}{z}

Solution steps

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

Treat

z

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= \frac{1}{z} \cdot 1

Simplify

= \frac{1}{z}

\int 20 x sin (5 x^{2} - 3) d x

f (x) = \frac{9}{x ^{2}}, at x = - 1

f (x) = 2 - 4 x, at x = - 1

f (x) = n (n^{2} + 3 n - 4)^{7}

\int 56 x e^{4 x^{2}} d x

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