Find derivatives of the functions defined as follows.y=(t^2 e^(2t))/(t+e^(3t))

shadsiei 2020-12-28 Answered

Find derivatives of the functions defined as follows. y=(t2e(2t))/(t+e(3t))

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Expert Answer

Alara Mccarthy
Answered 2020-12-29 Author has 85 answers

dy/dt=((t+e(3t))(2t2e(2t)+2te(2t))(t2e(2t))(1+3e(3t)))/((t+e(3t))2)
=(2t3e(2t)+2t2e(2t)+2t2e(5t)+2te(5t)t2e(2t)+3t2e(5t))/((t+e(3t))2)
=((5t2+2t)e(5t)+(2t3+t2)e(2t))/((t+e(3t))2)

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