Find derivatives of the functions defined as follows. y=(t2e(2t))/(t+e(3t))
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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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With respect to x, what is the derivative of: u52 Option 1: u25dudx Option 2: −53u−35 Option 3: 25u−35dudx Option 4: 57u75dudx
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