Find the Derivative of the Function $$y = 3 \sin ^ { - 1 } \left( x ^ { 2 } \right)$$

question 14

Multiple Choice

Find the derivative of the function. $$y = 3 \sin ^ { - 1 } \left( x ^ { 2 } \right)$$

• A)
• \(y ^ { t } = \frac { 6 x } { \sqrt { 1 + x ^ { 4 } } }\)
• B)
• \(y ^ {t } = \frac { x } { \sqrt { 1 - x ^ { 2 } } }\)
• C)
• \(y ^ { t } = \frac { 6 x } { \sqrt { 1 - x ^ { 4 } } }\)
• D)
• \(y ^ { t } = \frac { 6 x } { \sqrt { 1 - x ^ { 2 } } }\)
• E) None of these

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Definitions:

Trade Deficit

A scenario in which the value of a nation's imports of goods and services surpasses the value of its exports.

C + I + G + Xn

An equation representing the Gross Domestic Product (GDP) calculated by adding Consumption (C), Investment (I), Government Spending (G), and Net Exports (Exports minus Imports, Xn).

C + I + G

An economic formula representing the total aggregate demand in an economy, comprising Consumption (C), Investment (I), and Government spending (G).

Free Trade Zone

A specific region within a country where goods may be imported, handled, manufactured, and re-exported without direct intervention from customs authorities.