Question

Differentiate: Y(u)=(u^(-2)+u^(-3))(u^(5)-9u^(2)) Y^(')(u)= Differentiate: $Y(u) = (u^{-2} + u^{-3})(u^5 - 9u^2)$ $Y'(u) =$

Name: differentiate yuu 2u 3u5 9u2 yu differentiate yu u 2 u 3u5 9u2 yu 21436
Uploaded: 2024-04-15T02:59:33-08:00
Duration: 1 min 17 s
Channel: Zhumagali Shomanov
Description: differentiate yuu 2u 3u5 9u2 yu differentiate yu u 2 u 3u5 9u2 yu 21436

          Differentiate:
Y(u)=(u^(-2)+u^(-3))(u^(5)-9u^(2))
Y^(')(u)=
Differentiate:
$Y(u) = (u^{-2} + u^{-3})(u^5 - 9u^2)$
$Y'(u) =$

Added by Curtis S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Zhumagali Shomanov

04/15/2024

Step 1

We will use the product rule, which states that if $Y(u) = f(u)g(u)$, then $Y'(u) = f'(u)g(u) + f(u)g'(u)$. Let $f(u) = u^{-2} + u^{-3}$ and $g(u) = u^5 - 9u^2$. Then $f'(u) = -2u^{-3} - 3u^{-4}$ and $g'(u) = 5u^4 - 18u$. Now, we can apply the product Show more…

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