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Differentiate the Function f(t)=2+lnt5lntf ( t ) = \frac { 2 + \ln t } { 5 - \ln t }

Question 48

Multiple Choice

Differentiate the function. Select the correct answer.
f(t) =2+lnt5lntf ( t ) = \frac { 2 + \ln t } { 5 - \ln t }


A) ft(t) =7t(1lnt) 2f ^ { t } ( t ) = \frac { 7 } { t ( 1 - \ln t ) ^ { 2 } }
B) ft(t) =7t(5lnt) 2f ^ { t } ( t ) = \frac { 7 } { t ( 5 - \ln t ) ^ { 2 } }
C) ft(t) =75t(2lnt) 3f ^ { t } ( t ) = \frac { - 7 } { 5 t ( 2 - \ln t ) ^ { 3 } }
D) ft(t) =3t(5lnt) 2f ^ { t } ( t ) = \frac { - 3 } { t ( 5 - \ln t ) ^ { 2 } }
E) ft(t) =3+2lntt(2lnt) 2f ^ { t } ( t ) = \frac { 3 + 2 \ln t } { t ( 2 - \ln t ) ^ { 2 } }

Correct Answer:

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