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Find the Derivative Of f(t)=t3+3tf ( t ) = \frac { t ^ { 3 } + 3 } { t }

Question 210

Multiple Choice

Find the derivative of f(t) =t3+3tf ( t ) = \frac { t ^ { 3 } + 3 } { t } .


A) 2t2+3t2\frac { 2 t ^ { 2 } + 3 } { t ^ { 2 } }

B) 2t23t2\frac { 2 t ^ { 2 } - 3 } { t ^ { 2 } }
C) 3t23 t ^ { 2 }
D) 2t33t2\frac { 2 t ^ { 3 } - 3 } { t ^ { 2 } }
E) 3t2+33 t ^ { 2 } + 3
F) 2t3+3t2\frac { 2 t ^ { 3 } + 3 } { t ^ { 2 } }

G) 2t3+3t\frac { 2 t ^ { 3 } + 3 } { t }

H) None of the above

Correct Answer:

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