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The definition of the derivative, at a point X = x is

the limit, as dx tends to 0, of [f(x+dx)-f(x)]/dx.

In this case, therefore, it is lim[3*(x+dx)+2 - (3*x+2)]/dx

= lim[3x + 3*dx +2 - 3x - 2]/dx = lim[3*dx/dx] = lim[3] = 3.

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Q: How do you find the definition of derivative of f of x equals 3x plus 2?
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