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Popular Calculus >

d/(du)(u/v)

Solution

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

Solution

\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}

Graph

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Frequently Asked Questions (FAQ)

What is the d/(du)(u/v) ?
The d/(du)(u/v) is 1/v
What is the first d/(du)(u/v) ?
The first d/(du)(u/v) is 1/v