PS - I don't have a coding background.
Just show them how worth what you are doing.
sometimes it is the actual situation that will answer the problem than just a word of explanation
like what they say, To see is to believe.
i remember when i was young when i plan to work in a fast food chain and my parents denied me from doing .
but instead of following them ? i secretly start the work and then when my parents starts to find out ? they see that my grades did not change so they let me do my things and since then trusted me in every decision i made.