Deriving the Derivative of y = arctan (x)

Deriving the Derivative of y = arctan (x). In this video, I show how to derive the derivative formula for y = arctan(x). This is a super useful procedure to remember as this is how many of the inverse derivative formulas are derived! All we need to do is use implicit differentiation and some trig identities.

Category:

Education

Tags:

• math
• derivative
• inverse
• trig
• trigonometric
• derive
• prove
• justify
• AP
• BC
• SAT

[shapeurmind]

It's a lot easier to memorize if you understand it first...great explanation :)

[patrickJMT]

@shapeurmind glad it made sense. this is the way that the derivatives of many inverse functions are done

[joejar77]

good video. it is good to know how and why to differentiate the original problem rather than just memorizing the end result. that is how it is in my calc class. we can use a formula sheet which does correctly give commonly used derivatives but once again, it is good to know how and why to derive them.

[patrickJMT]

@joejar77 hal tell that to the person who made a comment about 6 comments below yours : )

[Hannanstl]

I will derive !

[TheZERODEGREES]

I love math xD

[PerfectionKiIIs]

you're jesus christ aren't you

[aaron22555]

you should change your name to patrickGOD

[BenOmarbaOmar]

Maths is killing me :(

[250Roachclip]

can that also be written as 1/x^2+1 ?

[ForgottenMemmory]

AHH Thank you! this is on my exam for tomorrow hopefully all goes well lol

[isuruar23]

Can you also do videos on deriving derivatives of arcsin(x) and arccos(x)?? PLEASE!!! Thank You!

[l0Like0It0Like0That]

I LOVE YOUR EXPLANATION! but the only problem is in (our) tests & exams, we don't have that time to work out such a derivative, we must memorize it and be quick. Anyway. thanks a lot for this video, people like you who made me love Math :D

[alreadytakenthe3rd]

@ShinyMudkipable Yeah I don't know what I was thinking with that comment ahah.