If $g ( x ) = \sqrt { 2 - 3 x }$

question 57

Multiple Choice

If $g ( x ) = \sqrt { 2 - 3 x }$ , use the definition of derivative to find $g ^ { \prime } ( x )$

• A)
• \(g ^ { \prime } ( x ) = - \frac { 1 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }\)
• B) \(g ^ { \prime } ( x ) = - ( 2 - 3 x ) ^ { - 1 / 2 }\)
• C)
• \(g ^ { \prime } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { 1 / 2 }\)
• D)
• \(g ^ { \prime } ( x ) = - \frac { 3 } { 2 } ( 2 - 3 x ) ^ { - 1 / 2 }\)
• E) None of these

Understand the components and calculations of intrinsic and time values of options.

Identify factors that influence the value of call and put options.

Explain the effects of interest rates and volatility on option pricing.

Describe the fundamentals of the Black-Scholes option-pricing formula and its applicability to different types of options.

---

Definitions:

Presupposition

Something assumed beforehand at the beginning of a line of argument or course of action.

Group Decision Making

The process by which a group of individuals come together to make a decision, typically through discussion and considering multiple perspectives.

Truth-Seeking

Means that a person has intellectual integrity and a courageous desire to actively strive for the best possible knowledge in any given situation. A truth-seeker asks probing questions and follows reasons and evidence wherever they lead, even if the results go against his or her cherished beliefs.

Evaluate an Argument

The process of critically analyzing an argument to determine its validity and soundness.