Find the Derivative $$y = \sqrt [ 7 ] { x ^ { 6 } } + x ^ { 6 e }$$

question 6

Multiple Choice

Find the derivative.
- $$y = \sqrt [ 7 ] { x ^ { 6 } } + x ^ { 6 e }$$

• A) \(\frac { 6 } { 7 } x ^ { 1 / 7 } + 6 e ^ { 6 e - 1 }\)
• B) \(\frac { 6 } { 7 } x ^ { 1 / 7 } + 6 x ^ { 6 e - 1 }\)
• C) \(\frac { 6 } { 7 } x ^ { - 1 / 7 } + 6 x ^ { 6 e - 1 }\)
• D) \(\frac { 6 } { 7 } x ^ { - 1 / 7 } + 6 e x 6 e - 1\)

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Definitions:

Resource Markets

Markets where productive inputs, such as labor, natural resources, and capital, are bought and sold.

Productivities

The levels of output or efficiency achieved from a set amount of inputs in production or work processes.

Profit-Maximizing

The process where a firm adjusts its production to achieve the highest possible profit given its constraints.

Labor (L)

A measure of the work done by human beings in the production process, considered a factor of production in economics.