Draw a lot of tangets to a sine function

sin_tangents.jl

using Plots, Colors

f = sin
f´ = cos
	
p = plot(xlim = [-2pi, 7pi], 
	ylim = [-6,6], 
	lw= 0,
	axis = nothing, border = :none)

for i in 0:0.01:5pi
	p = plot!(p, x -> f´(i)*(x-i)+f(i),
		color = RGB(i/5pi, ((1+i)%5pi)/5pi, 0.5), 
		alpha = 0.1, leg=false)
end
	
p