Help Find the derivative of the following function and determine the intervals o

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Find the derivative of the following function and determine the intervals on which the results are valid. d/dx [In(2x + 3/2x - 3)] The derivative and valid interval d/dx [In (2x + 3/2x - 3)] = where x >. The projected population of a certain ethnic group(in millions) can be approximated by p(t) = 35.17(1.021)t where t = 0 corresponds to 2000 and 0 t 50. Estimate the population of this group for the year 2010. What is the instantaneous rate of change of the population when t= 10? The population in 2010 is million people.(Round to three decimal places as needed.) Use logarithmic differentiation to evaluate f'(x). f(x) = (10x)lnl0x f'(x)= Evaluate the derivative of the following function. f(z)=3 tan -l(2z) The derivative is f'(z) = .

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