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Popular >

d/(dt)(((8t)^2)/(10))

Solution

\frac{d}{d t} (\frac{( 8 t ) ^{2}}{10})

Solution

\frac{64 t}{5}

Solution steps

\frac{d}{d t} (\frac{( 8 t ) ^{2}}{10})

Take the constant out:

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

= \frac{1}{10} \frac{d}{d t} ((8 t)^{2})

Apply the chain rule:

2 \cdot 8 t \frac{d}{d t} (8 t)

= 2 \cdot 8 t \frac{d}{d t} (8 t)

\frac{d}{d t} (8 t) = 8

= \frac{1}{10} \cdot 2 \cdot 8 t \cdot 8

Simplify

\frac{1}{10} \cdot 2 \cdot 8 t \cdot 8 : \frac{64 t}{5}

= \frac{64 t}{5}

Graph

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Frequently Asked Questions (FAQ)

What is the d/(dt)(((8t)^2)/(10)) ?
The d/(dt)(((8t)^2)/(10)) is (64t)/5
What is the first d/(dt)(((8t)^2)/(10)) ?
The first d/(dt)(((8t)^2)/(10)) is (64t)/5