Find the Derivative $$y = \int _ { 0 } ^ { \tan x } \sqrt { t } d t$$

question 100

Multiple Choice

Find the derivative.
- $$y = \int _ { 0 } ^ { \tan x } \sqrt { t } d t$$

• A) \(\sec x \tan ^ { 3 / 2 } x\)
• B) \(\frac { 2 } { 3 } \tan ^ { 3 / 2 } x\)
• C) \(\sec ^ { 2 } x \sqrt { \tan x }\)
• D) \(\sqrt { \tan x }\)

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Definitions:

Hull

A reference to Clark L. Hull, an influential psychologist known for his work on drive theory and behaviorism.

Estes

Pertains to the work of William K. Estes, an American psychologist known for his research in mathematical psychology, learning theory, and memory processes.

Thorndike

Edward Thorndike was an American psychologist whose work on animal behavior and the learning process led to the theory of connectionism and helped lay the scientific foundation for modern educational psychology.

Fear of Heights

Also known as acrophobia, it is an anxiety disorder characterized by an extreme fear of high places.