Find $f ^ { \prime } ( t )$ If $f ( t ) = t ^ { 10 } 10 ^ { 3 t }$

question 77

Multiple Choice

Find $f ^ { \prime } ( t )$ if $f ( t ) = t ^ { 10 } 10 ^ { 3 t }$ .

• A) \(f ^ { \prime } ( t ) = 10 t ^ { 9 } 10 ^ { 3 t } + 3 t ^ { 10 } 10 ^ { 3 t }\)
• B) \(f ^ { \prime } ( t ) = 10 t ^ { 9 } 10 ^ { 3 t } + 10 ^ { 3 t - 1 }\)
• C) \(f ^ { \prime } ( t ) = 10 t ^ { 9 } 10 ^ { 3 t } + 3 \ln ( 10 ) t ^ { 10 } 10 ^ { 3 t }\)
• D) \(f ^ { \prime } ( t ) = 10 t ^ { 9 } 10 ^ { 3 t } + 30 t ^ { 10 } 10 ^ { 3 t }\)
• E) \(f ^ { \prime } ( t ) = 10 t ^ { 9 } 30 ^ { 3 t - 1 }\)

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Definitions:

Anatomical Terms

Standardized terminology used to describe locations and relationships between structures of the living body.

Digits

The fingers and toes of humans and other tetrapods, which are used for manipulation and sensing.

Tarsals

A group of seven bones in the foot that form the ankle and proximal part of the instep.

Brachial Region

The region of the upper arm or the extension of the shoulder to the elbow.