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please help and show all work for 1-5 thank you 1) Find the derivative of y = etanx 2) Use implicit differentiation to find dy

please help and show all work for 1-5 thank you

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1) Find the derivative of y = etanx 2) Use implicit differentiation to find dy if tan(xy) + xtany = x dx 3) Show that y" + y = 0, given that y = 2 sin x + 3 cosx 4) Find the derivative of y = arctan(x + 3) 5) Evaluate the given expression without the aid of a calculator X+1 tan [arcsin( 6

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