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if you know the derivative of tan u and the derivative of 5/x, you can use the chain rule.

by letting u = 5/x

I don't know the derivative of tan u xD Is there any way to find it without having it memorized?

no need for u

it's a really good one to know, especially for integration

\(\large\color{black}{ \displaystyle \frac{d}{dx}\left(~\tan(x/5)~\right) }\)

how would you differentiate if it was just tan(x) ?

I don't know lol I get confused when it comes to tan

what is the derivative of tan(x), you don't know ?

Nope xD

you can use a quotient rule, do you know what a quotient rule is?

@Tracy96
cheers

Do you know what d/dx means ?

Ohhh now I remember it was sec^2x hahaha

Working on math too much today XD lol

yes, derivative of tan(x) is sec^2(x)

Ok so that will be \[\sec^2(5/x)(\frac{ -5 }{ x^2 })\]

yes, that is correct, but I would put the last part in front to avoid any confusion

confusion*

Right! Thanks so much @SolomonZelman :D

Sure. Any questions you have regarding this problem or any of the rules?

Nope! Thanks! That was very helpful :)

Alright. You are always welcome!

:)