Adding y limit and x and y labels to ggplot/violin plot

All this goes outside the ggplot() function, somethin like this

library(ggplot2)

ggplot(five,aes(Derivative, Score)) + 
    geom_violin() + 
    geom jitter(height=0, width=0.1) +
    ylim(0,10) +
    xlab("TLR4 Antagonist") +
    ylab("Score")

This is not tested since you haven't provided sample data. If you need more specific help, please provide a proper REPRoducible EXample (reprex) illustrating your issue.

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