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Find ft(x)f ^ { t } ( x ) f(x)=8ex3x2arctan(x)f ( x ) = 8 e ^ { x } - 3 x ^ { 2 } \arctan ( x )

Question 75

Multiple Choice

Find ft(x) f ^ { t } ( x )
f(x) =8ex3x2arctan(x) f ( x ) = 8 e ^ { x } - 3 x ^ { 2 } \arctan ( x )


A)
ft(x) =8ex3x21+x22x(arctan(x) ) f ^ { t } ( x ) = 8 e ^ { x } - \frac { 3 x ^ { 2 } } { 1 + x ^ { 2 } } - 2 x ( \arctan ( x ) )
B)
ft(x) =8ex3x21+x2+6x(arctan(x) ) f ^ {t } ( x ) = 8 e ^ { x } - \frac { 3 x ^ { 2 } } { 1 + x ^ { 2 } } + 6 x ( \arctan ( x ) )
C)
ft(x) =8ex3x21+x26x(arcsin(x) ) f ^ { t } ( x ) = 8 e ^ { x } - \frac { 3 x ^ { 2 } } { 1 + x ^ { 2 } } - 6 x ( \arcsin ( x ) )
D)
ft(x) =8ex3x21+x26x(arctan(x) ) 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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