Use Part 1 of the Fundamental Theorem of Calculus to Find

question 45

Multiple Choice

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

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

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Definitions:

Predictive Validity

When a scale is related to a concrete outcome or behavior.

Discriminant Validity

The extent to which a construct is truly distinct from other constructs by empirical standards, often assessed through its lack of correlation with unrelated constructs.

Convergent Validity

When a scale correlates with other scales measuring the same construct.

Face Validity

When scale items appear, at face value, to measure what they are supposed to measure.