Find $y ^ { \prime }$ $y = \ln ( 5 x + 7 ) ^ { 1 / 8 }$

question 80

Multiple Choice

Find $y ^ { \prime }$ . $y = \ln ( 5 x + 7 ) ^ { 1 / 8 }$

• A) \(\frac { 5 } { 8 ( 5 x + 7 ) }\)
• B) \(\frac { 7 } { 5 ( 5 x + 7 ) }\)
• C) \(\frac { 7 } { 8 ( 5 x + 7 ) }\)
• D) \(\frac { 35 } { 8 ( 5 x + 7 ) }\)
• E) \(\frac { 40 } { 7 ( 5 x + 7 ) }\)

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Definitions:

Years

Units of time that represent a period approximately equal to 365 days, used to measure duration or age.

Economic Profits

The surplus remaining after subtracting both the explicit and implicit costs from total revenues.

Productive Land Resources

Refers to natural resources that can be used for production purposes, such as agriculture, mining, and forestry.

Perfectly Inelastic

Describes a situation in economics where the quantity demanded or supplied does not change in response to a price change.