Given $x y = 6,$ Find $\frac { d y } { d t }$

question 49

Multiple Choice

Given $x y = 6,$ find $\frac { d y } { d t }$ when x = 4 and $\frac { d x } { d t } = - 2$

• A) \(\frac { d y } { d t } = \frac { 27 } { 4 }\)
• B) \(\frac { d y } { d t } = - \frac { 3 } { 4 }\)
• C) \(\frac { d y } { d t } = \frac { 3 } { 4 }\)
• D) \(\frac { d y } { d t } = \frac { 4 } { 3 }\)
• E) \(\frac { d y } { d t } = - \frac { 4 } { 27 }\)

---

Definitions:

Project Accepted

A status indicating that a proposed plan or project has been reviewed and granted approval for implementation.

Profitability Indices

Profitability indices are financial tools used to evaluate the efficiency of an investment or to compare the efficiency of multiple projects by calculating the ratio of the present value of future cash flows to the initial investment.

Project Accepted

The status of a project that has been approved for execution after evaluation of its feasibility, returns, and alignment with strategic goals.

Terminal Value

The value of a business or project beyond the forecast period when future cash flows can be estimated.