d/(du)(u/v)

Solution

\frac{d}{d u} (\frac{u}{v})

\frac{1}{v}

Solution steps

\frac{d}{d u} (\frac{u}{v})

Treat

v

as a constant

Take the constant out:

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

= \frac{1}{v} \frac{d u}{d u}

Apply the common derivative:

\frac{d u}{d u} = 1

= \frac{1}{v} \cdot 1

Simplify

= \frac{1}{v}

y y^{^{'}} = x (y^{2} + 1)

\frac{d}{d x} (\frac{x e ^{x} - e ^{x}}{x ^{2}})

x \to 0 lim (3 x + 1)

\frac{4}{x - 7}

\frac{\partial}{\partial x} (x^{2} + 2 x y - y^{2} - 8 x)