Question

Differentiate y = ln(x^5 + 8). Solution To use the Chain Rule, we let u = x^5 + 8. Then y = ln(u), so dy/dx = dy/du * du/dx = ( ) du/dx = 1/(x^5 + 8) ( ) = .

          Differentiate y = ln(x^5 + 8).

Solution

To use the Chain Rule, we let u = x^5 + 8. Then y = ln(u), so

dy/dx = dy/du * du/dx = ( ) du/dx

= 1/(x^5 + 8) ( )

= .

Added by Jo R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

10/19/2022

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Step 1:** Let u = x^5 + 8 ** Show more…

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To use the Chain Rule, we let u = x^5 + 8. Then y = ln(u), so dy/dx = (1/u) * du/dx = (1/(x^5 + 8)) * (5x^4) = 5x^4 / (x^5 + 8)

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Question

Differentiate y = ln(x^5 + 8). Solution To use the Chain Rule, we let u = x^5 + 8. Then y = ln(u), so dy/dx = dy/du * du/dx = ( ) du/dx = 1/(x^5 + 8) ( ) = .

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