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Please differentiate the following questions:
a. find F'(x) when f(x)= ((3x-4)/(5x+2))^-5
b.find dy/dx when y=sin(x^3 e^x)
c, dy/dx when x cos(2x + 3y) = y sin x
d. f'(x) when f(x) = sqrt (x+ ln (3x))
Please show the steps to each answer