Use Part 1 of the Fundamental Theorem of Calculus to Find

question 51

Multiple Choice

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function.
$$h ( x ) = \int _ { 1 } ^ { \sqrt { x } } \frac { 5 z ^ { 2 } } { z ^ { 4 } + 1 } d z$$
Select the correct answer.

• A) \(\frac { 5 \sqrt { x } } { x ^ { 2 } + 1 }\)
• B) \(\frac { \sqrt { x ^ { 2 } + 1 } } { 5 }\)
• C)\(\frac { 5 \sqrt { x } } { 2 \left( x ^ { 2 } + 1 \right) }\)
• D) \(\frac { \sqrt { x + 5 } } { x ^ { 2 } + 5 }\)
• E) none of these

---

Definitions:

Skepticism

An attitude of doubt or a disposition to disbelief, often requiring strong evidence before accepting any claims.

Careful Logic

A method of reasoning or argumentation that is meticulous and precise, avoiding errors in inference.

U.S. Supreme Court

The U.S. Supreme Court is the highest judicial body in the United States, holding the ultimate authority in interpreting the Constitution and federal law.

Juvenile Crime

Illegal activities committed by individuals who are under the age of legal adulthood.