Find $f ^ { \prime }$ In Terms Of $g ^ { \prime }$

question 92

Multiple Choice

Find $f ^ { \prime }$ in terms of $g ^ { \prime }$ .
$$f ( x ) = x ^ { 5 } g ( x )$$
Select the correct answer.

• A) \(f ^ { \prime } ( x ) = 5 x ^ { 4 } + g ^ { \prime } ( x )\)
• B) \(f ^ { \prime } ( x ) = x ^ { 5 } g ( x ) + 5 x ^ { 5 } g ^ { \prime } ( x )\)
• C) \(f ^ { \prime } ( x ) = 5 x ^ { 4 } g ( x ) + x ^ { 5 } g ^ { \prime } ( x )\)
• D) \(f ^ { \prime } ( x ) = 5 x ^ { 4 } g ^ { \prime } ( x )\)
• E) \(f ^ { \prime } ( x ) = 5 x f ^ { \prime } ( x ) + 5 x g ^ { \prime } ( x )\)

Understand the relationship between market supply and demand equations and market outcomes.

Apply concepts of surplus to evaluate changes in market conditions.

Understand the concept of consumer surplus and how to calculate it.

Comprehend the relationship between market price, consumer willingness to pay, and consumer surplus.