Compute the derivative of y = (3x + 2)2sin in two different ways: (a) Write y...

   

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Compute the derivative of y = (3x + 2)2sin in two different ways: (a) Write y as an exponential (that is, y = el() for some function f(z)), then differentiate that using the chain rule. (b) Use logarithmic differentiation. Take the natural log first of both sides of y = (3x + 2) sinz, use properties of natural log then differentiate and solve for y. Compute the derivative of y = (3x + 2)2sin in two different ways: (a) Write y as an exponential (that is, y = el() for some function f(z)), then differentiate that using the chain rule. (b) Use logarithmic differentiation. Take the natural log first of both sides of y = (3x + 2) sinz, use properties of natural log then differentiate and solve for y.