Differentiate the function:

\[ Y = (8x^4 - x + 1)(-x^5 + 5) \]

First, multiply the brackets out:
(8x^4 - x + 1)(-x^5 + 5) = -8x^9 + x^6 - x^5 + 40x^4 - 5x + 5
Then, find f'(x) by multiplying each term by the power, then reducing the power by one:
f'(x) = -72x^8 + 6x^5 - 5x^4 + 160x^3 - 5

Answered by DavidOrrell | 2024-06-10

To differentiate the function Y = ( 8 x 4 − x + 1 ) ( − x 5 + 5 ) , we used the product rule. The derivative is Y ′ = − 72 x 8 + 6 x 5 + 160 x 3 − 10 .
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Answered by DavidOrrell | 2024-12-26