Find the Derivative of the Function $$z = 2 x ^ { 2 } e ^ { x }$$

question 444

Multiple Choice

Find the derivative of the function.
- $$z = 2 x ^ { 2 } e ^ { x }$$

• A) \(\frac { \mathrm { dz } } { \mathrm { dx } } = 4 x \mathrm { e } ^ { \mathrm { x } } - 2 \mathrm { x } ^ { 2 } \mathrm { e } ^ { \mathrm { x } }\)
• B) \(\frac { d z } { d x } = 2 x e ^ { x } + 4 x ^ { 2 } e ^ { x }\)
• C) \(\frac { d z } { d x } = 4 x e ^ { x } + 2 x ^ { 2 } e ^ { x }\)
• D) \(\frac { d z } { d x } = 2 x e ^ { x } + 2 x ^ { 2 } e ^ { x }\)

---

Definitions:

Communication Competency

The ability to effectively convey, receive, and interpret messages, information, and ideas through appropriate verbal and non-verbal methods.

Global CEO

A chief executive officer who oversees the operation of a company with activities and interests in multiple countries, managing its global strategy and vision.

Real Business Results

Tangible, measurable outcomes of business activities, such as increased revenue, market share, or productivity improvements.

Blur

implies a lack of clarity or distinctness, often resulting in confusion or ambiguity in various contexts, including visual perception or understanding of information.