Find the Derivative Of $f ( x ) = e ^ { - ( 5 - x ) ^ { 2 } }$

question 42

Multiple Choice

Find the derivative of $f ( x ) = e ^ { - ( 5 - x ) ^ { 2 } }$ .

• A) \(2 ( 5 - x ) e ^ { - ( 5 - x ) ^ { 2 } }\)
• B) \(- 2 ( 5 - x ) e ^ { - ( 5 - x ) ^ { 2 } }\)
• C) \(- ( 5 - x ) ^ { 2 } e ^ { - ( 5 - x ) ^ { 2 } - 1 }\)
• D) \(\ln \left( - ( 5 - x ) ^ { 2 } \right) e ^ { - ( 5 - x ) ^ { 2 } }\)

---

Definitions:

Interest Rate

The proportion, in percentage, charged by a lender to a borrower for the use of assets, usually expressed on an annual basis.

Annual Interest

The amount of interest paid or earned over a one-year period, typically expressed as a percentage of the principal.

Graduate

The act of completing a course of study at a college or university, culminating in the receipt of a degree.

Discount Rate

This is the interest rate utilized in discounted cash flow analysis to assess the current value of future anticipated cash flows.