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Numerade Educator

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Problem 7 Easy Difficulty

Differentiate.

$ y = c $ cos $ t + t^2 $ sin $ t $

Answer

$$y^{\prime}=c(-\sin t)+t^{2}(\cos t)+\sin t(2 t)=-c \sin t+t(t \cos t+2 \sin t)$$

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Video Transcript

Hey, it's clear. So when you right here. So we have Why equals c co sign t plus t square sign We're gonna differentiate when we get C times de over de ti of co sign plus t Square do you over DT no sign. Close sign T D over DT of T Square When we got negative C sign clean crust He square co signed plus two tea sign Oh, tea and we simplify more and we could take out sign of tea