Find the Indicated Derivative $y = 5 \sqrt { x } + \frac { 9 } { \sqrt { x } }$

question 77

Multiple Choice

Find the indicated derivative. ? $y = 5 \sqrt { x } + \frac { 9 } { \sqrt { x } }$ , $x = 4$ when $t = 1$ , $\left. \frac { \mathrm { d } x } { \mathrm {~d} t } \right| _ { t = 1 } = 5$ ; $\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } =$
Please round the answer to the nearest hundredth.

• A) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 3.44\)
• B) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 34.38\)
• C) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 11.88\)
• D) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 0.69\)
• E) \(\left. \frac { \mathrm { d } y } { \mathrm {~d} t } \right| _ { t = 1 } = 6.88\)

Interpret the impact of economic downturns on diversified and non-diversified portfolios.

Comprehend the significance of negative beta values and their role in portfolio diversification.

Understand the relationship between stock correlation in a portfolio and its overall risk.

Understand the impact of interest rates on investment spending and consumption.

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Definitions:

Income Statement

A financial statement that reports a company's financial performance over a specific accounting period, detailing revenues, expenses, and net income or loss.

Period Costs

Expenses that are not directly tied to the production process and therefore are expensed in the period in which they incur, such as selling, general, and administrative expenses.