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The derivative of a function is the function's tangent function.
So, d(y)/dx = d(2tan(2x))/dx = 2*d(tan(2x))/dx = 2*d(tan(u))/du*du/dx, where u=2x, = 2*sec2(2x)*d(2x)/dx = 4*sec2(2x)*d(x)/dx = 4*sec2(2x)
Now just make a plot for y = 4*sec2(2x) and you got your tangent function.
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