Use Logarithmic Differentiation to Find $\frac { \mathrm { d } y } { \mathrm {~d} x }$

question 61

Multiple Choice

Use logarithmic differentiation to find $\frac { \mathrm { d } y } { \mathrm {~d} x }$ . $y = \left( x ^ { 3 } + x \right) \sqrt { x ^ { 3 } + 6 }$ ?

• A) \(\left( \frac { 3 x ^ { 2 } + 1 } { x ^ { 3 } + x } + \frac { 3 x ^ { 2 } } { 2 x ^ { 3 } + 12 } \right)\)
• B) \(\left( x ^ { 3 } + x \right) \sqrt { x ^ { 3 } + 6 } \left( \frac { 1 } { x ^ { 3 } + x } + \frac { 1 } { 2 \left( x ^ { 3 } + 6 \right) } \right)\)
• C) \(\left( x ^ { 3 } + x \right) \sqrt { x ^ { 3 } + 6 } \left( \frac { 3 x ^ { 2 } + 1 } { x ^ { 3 } + x } + \frac { 3 x ^ { 2 } } { 2 \left( x ^ { 3 } + 6 \right) } \right)\)
• D) \(\left( 3 x ^ { 2 } + 1 \right) \left( \frac { 3 x ^ { 2 } + 1 } { x } + \frac { 3 x ^ { 2 } } { 2 x ^ { 3 } + 12 } \right)\)
• E) \(3 x ^ { 2 } \sqrt { x ^ { 3 } + 12 } \left( \frac { 3 x ^ { 2 } + 1 } { x ^ { 3 } + x } + \frac { x ^ { 2 } } { 2 x ^ { 3 } + 6 } \right)\)

Differentiate between the location analysis techniques employed by service and manufacturing organizations.

Recognize the ethical and legal concerns in global supply chain decisions.

Identify the functions of different brain lobes.

Understand the concept of the association cortex and its importance.

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Definitions:

Field Warehouse

A storage facility that is used to store goods that are under the control of a financing company until the loan secured by those goods is repaid.

Loan Against Inventory

A type of financing where a loan is given to a company based on the value of its inventory which serves as collateral.

Line of Credit

An arrangement between a financial institution and a client that establishes a maximum loan balance that the borrower can access.

Commitment Fee

A fee charged by a lender to a borrower for an unused credit line or undisbursed loan, serving as compensation for keeping funds available.