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Popular >

d/(dt)((6t+28)/(t+7))

Solution

\frac{d}{d t} (\frac{6 t + 28}{t + 7})

Solution

\frac{14}{( t + 7 ) ^{2}}

Solution steps

\frac{d}{d t} (\frac{6 t + 28}{t + 7})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d}{d t} ( 6 t + 28 ) ( t + 7 ) - \frac{d}{d t} ( t + 7 ) ( 6 t + 28 )}{( t + 7 ) ^{2}}

\frac{d}{d t} (6 t + 28) = 6

\frac{d}{d t} (t + 7) = 1

= \frac{6 ( t + 7 ) - 1 \cdot ( 6 t + 28 )}{( t + 7 ) ^{2}}

Simplify

\frac{6 ( t + 7 ) - 1 \cdot ( 6 t + 28 )}{( t + 7 ) ^{2}} : \frac{14}{( t + 7 ) ^{2}}

= \frac{14}{( t + 7 ) ^{2}}

Graph

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Frequently Asked Questions (FAQ)

What is the d/(dt)((6t+28)/(t+7)) ?
The d/(dt)((6t+28)/(t+7)) is (14)/((t+7)^2)
What is the first d/(dt)((6t+28)/(t+7)) ?
The first d/(dt)((6t+28)/(t+7)) is (14)/((t+7)^2)