Find $f ^ { t } ( x )$ $f ( x ) = 8 e ^ { x } - 3 x ^ { 2 } \arctan ( x )$

question 47

Multiple Choice

Find $f ^ { t } ( x )$
$f ( x ) = 8 e ^ { x } - 3 x ^ { 2 } \arctan ( x )$

• A)\(f ^ { t } ( x ) = 8 e ^ { x } - \frac { 3 x ^ { 2 } } { 1 + x ^ { 2 } } - 2 x ( \arctan ( x ) )\)
• B)\(f ^ { t } ( x ) = 8 e ^ { x } - \frac { 3 x ^ { 2 } } { 1 + x ^ { 2 } } + 6 x ( \arctan ( x ) )\)
• C)\(f ^ { t } ( x ) = 8 e ^ { x } - \frac { 3 x ^ { 2 } } { 1 + x ^ { 2 } } - 6 x ( \arcsin ( x ) )\)
• D)\(f ^ {t } ( x ) = 8 e ^ { x } - \frac { 3 x ^ { 2 } } { 1 + x ^ { 2 } } - 6 x ( \arctan ( x ) )\)
• E) none of these

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Definitions:

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A financial term referring to the ability of a company or individual to meet its short-term financial obligations with its liquid assets.