`F(t) = e^(t sin(2t))` Find the derivative of the function.

Textbook Question

Chapter 3, 3.4 - Problem 29 - Calculus: Early Transcendentals (7th Edition, James Stewart).
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hkj1385 | (Level 1) Assistant Educator

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Note:- 1) If y = sint ; then dy/dt = cost

2) If y = e^(at) ; then dy/dt = a*e^(at) ; where a = constant

3) If y = t^n ; then dy/dt = n*t^(n-1) ; where n = real number

Now, 

F(t) = e^[t*sin(2t)] 

Thus, dy/dt = e^[t*sin(2t)] * [sin(2t) + 2t*cos(2t)]

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