Get the answer to "Find dydx using the rules for finding derivatives...."

Brittney Lord

Answered question

2021-05-07

Find

\frac{d y}{d x}

using the rules for finding derivatives.

y = (2 x^{2} - 6) (8 x^{2} - 9 x + 9)

\frac{d y}{d x} =

BleabyinfibiaG

Skilled2021-05-08Added 118 answers

y = (2 x^{2} - 6) (8 x^{2} - 9 x + 9)

Use

\frac{d}{d x} (u \cdot v) = \frac{d u}{d x} \cdot v + u \cdot \frac{d v}{d x}

\frac{d y}{d x} = \frac{d}{d x} (2 x^{2} - 6) \cdot (8 x^{2} - 9 x + 9) + (2 x^{2} - 6) \cdot \frac{d (8 x^{2} - 9 x + 9)}{d x}

= (4 x) (8 x^{2} - 9 x + 9) + (2 x^{2} - 6) (16 x - 9)

= 32 x^{3} - 36 x^{2} + 36 x + 32 x^{3} - 18 x^{2} - 96 x + 54

= 64 x^{3} - 54 x^{2} - 60 x + 54

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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