Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Sequence and Series
A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence. It was invented by German mathematician Carl Friedrich Gauss.
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For the part circled in green, how did we get 1/2(t)^1/2 ?

11:53 Answered: entiation to find the de... https://www.bartleby.com/questions-and-ans.. = bartleby A Q&A I 8 Math / Calcul... / Q&A Libr... / entiation to find the derivati. entiation to find the derivativ 10 A. In 5t ... •.. Answer: 5t vi Vi dy (In(t) + 1) dt Step 2 Given, y = 5t vi Taking logarithm on both sides we have, In(y) = In(5t vî) → In(y) = In(5) + Vfi. In(t) Now differentiating with respect to t , we have 0+n(1) + Vi. + 1 dy _ 1 y dt (1) (GIn(t) + 1) ()- 1 dy I In + Vi y dt 5t vi Vi dy dt Which doesn't match any of the options. Option-D matches except for the first term inside the bracket. It seems the extra 5 in (In(5t) + 1) is a typo. The dy 5t Vi answer must be dt (In(t) + 1) Vi II
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Transcribed Image Text:11:53 Answered: entiation to find the de... https://www.bartleby.com/questions-and-ans.. = bartleby A Q&A I 8 Math / Calcul... / Q&A Libr... / entiation to find the derivati. entiation to find the derivativ 10 A. In 5t ... •.. Answer: 5t vi Vi dy (In(t) + 1) dt Step 2 Given, y = 5t vi Taking logarithm on both sides we have, In(y) = In(5t vî) → In(y) = In(5) + Vfi. In(t) Now differentiating with respect to t , we have 0+n(1) + Vi. + 1 dy _ 1 y dt (1) (GIn(t) + 1) ()- 1 dy I In + Vi y dt 5t vi Vi dy dt Which doesn't match any of the options. Option-D matches except for the first term inside the bracket. It seems the extra 5 in (In(5t) + 1) is a typo. The dy 5t Vi answer must be dt (In(t) + 1) Vi II
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