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:

Radial Artery

A major artery in the forearm that supplies blood to the lateral aspect of the hand and the thumb.

Coronary Artery

An artery supplying blood to the heart muscle itself, essential for providing oxygen and nutrients.

Subclavian Artery

A major artery that supplies blood to the thorax, upper limbs, and head.

Anterior Tibial Arteries

Arteries that supply blood to the front part of the lower leg and foot.