Solved: "Using the Extended Power Rule Find the following..." - Plainmath

Jaya Legge

Answered question

2021-04-19

Using the Extended Power Rule Find the following derivatives.

\frac{d}{d t} (\frac{3 t^{16} - 4}{t^{6}})

Answer & Explanation

mhalmantus

Skilled2021-04-21Added 105 answers

\frac{d}{d t} (\frac{3 t^{16} - 4}{t^{6}}) = \frac{d}{d x} (\frac{3 t^{16}}{t^{6}} - \frac{4}{t^{6}})

= \frac{d}{d x} (3 t^{10} - 4 t^{- 6})

= 3 \frac{d}{d t} (t^{10}) - 4 \frac{d}{d t} (t^{- 6})

= 30 t^{9} - 24 t^{- 7}

= 30 t^{9} - \frac{24}{t^{7}}

Jeffrey Jordon

Expert2022-01-31Added 2605 answers

Answer is given below (on video)

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