`y = (t sin(t))/(1 + t)` Differentiate.

Textbook Question

Chapter 3, 3.3 - Problem 13 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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kspcr111 | In Training Educator

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`y = (t sin(t))/(1 + t)`

`y' = ((t sin(t))/(1 + t))'`

   `= ((1+t) *(d/(dt) (t sin t)) - t sint *(d/(dt) ( 1+t)))/(1+t)^2`

   `=(((1+t) *(t(cos t)+ sint)) - (t sint *(1)))/(1+t)^2`

` = (sin(t) +t(t+1)(cost))/(1+t)^2`

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