# How do you find the derivative of #((1+3x)/(3x))(3-x)#?

To differentiate now, use the quotient rule, or carry out the following steps:

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To find the derivative of ((1+3x)/(3x))(3-x), you can apply the product rule. The product rule states that if you have two functions u(x) and v(x), then the derivative of their product u(x)*v(x) with respect to x is given by the formula: (u'(x)*v(x)) + (u(x)*v'(x)).

Let u(x) = (1 + 3x)/(3x) and v(x) = (3 - x).

Find u'(x) by applying the quotient rule, then find v'(x).

Once you have u'(x) and v'(x), plug them into the product rule formula to find the derivative of the given expression.

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