Find the Derivative of the Function $\sqrt[8]{x}+\frac{1}{\sqrt[6]{x}}$ A) $\frac{1}{8 x^{7 / 8}}+\frac{1}{6 x^{7 / 6}}$

question 42

Multiple Choice

Find the derivative of the function. $\sqrt[8]{x}+\frac{1}{\sqrt[6]{x}}$

• A) \(\frac{1}{8 x^{7 / 8}}+\frac{1}{6 x^{7 / 6}}\)
• B) \(\frac{x^{7 / 8}}{8}-\frac{1}{6 x^{7 / 6}}\)
• C) \(\frac{1}{8 x^{7 / 8}}-\frac{1}{6 x^{7 / 6}}\)
• D) \(\frac{x^{7 / 8}}{8}+\frac{1}{6 x^{7 / 6}}\)

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Definitions:

Scenario Analysis

A process of analyzing future events by considering alternative possible outcomes (scenarios), often used in the assessment of risk or strategic planning.

NPV

Net Present Value, a calculation used to estimate the profitability of an investment or project by summing the present values of all expected future cash flows.

Probability

The measure of the likelihood that an event will occur, expressed as a number between 0 and 1, where 1 indicates certainty.

Capital Budgeting

The process by which a business evaluates and selects long-term investments that are expected to yield returns over a period of time.