Calculus, derivative of inverse tangent

Calculus, derivative of inverse tangent,
Calculus, derivative of arctan(x),
Calculus, derivative of tan^-1(x)

[aaron_is_good]

Couldn't understand the last step :(

[EraParaHoy]

I have seen many of your videos!!! I am learning too much!! you are a pretty good teacher :D! THANK YOU :)

[michalbotor]

sorry for being rude, but in this particular instance, saying that the derivative of tangent is secant squared was a poor choice, as then you had to deal with this pesky secant squared of inverse tangent. bleh! 🥴there is an alternative formula for the derivative of the tangent which in this case begs to be used:
(d/dθ) tan(θ) = 1 + tan(θ)². then you would have:
(d/dx) tan(θ) = x
(1 + tan(θ)²) * dθ/dx = 1 <<<< 😍
(1 + x²) * dθ/dx = 1
dθ/dx = 1 / (1 + x²)

[borisburd]

I've always watched your more recent videos just for fun and now that im in calculus 1 i found this old videos really usefull! Thank you so much bprp <3

[nicolasbernard]

just finished the arcsin video thanks for making these!

[dubslyDOT]

Thank you I’m hiding in the bathroom before a quiz and could remember this!

[toastedice]

Don't care about the math, but your marker skills are sick!

[fay]

Can you explain the reverse? Like how do we get the integral of 1/(x^2+1)?

[dd-vlkx]

Why bro making it so complicated? Just set tany = x and use a triangle to see that opposite over adjacent is X/1. Then use the Pythagorean theorem and solve for the Adjacent side. Take the derivative which is sec2 and use 1/cos instead. Then use the side lengths found from the triangle to see that 1/ cos is 1/A/H and substitute so 1/(1+x)^2

[sangeetapandey]

Watching this video I can say my method is easier

[ToastFrench]

which one of your videos covers why cos^2(tan^-1(x)) = 1/(1+x^2) ??? I can't find it

[omarali-hoxp]

Thank u so much your videos are grate.

[artistgary]

1/sec^2ø =1/tan^2ø+1....then tanø=x....so need for extra step ig

[kritikasrivastava]

I'm from india we did this in 11th standard 😂😂

[Joeytoday]

can you help me about nth derivative of inverse tangent please !

[Lexaugd]

Thank you so much, this makes things pretty clear

[andand]

Sir how to solve this problem: d/dx (arc ln (x)) ?

[avtarshishodia]

Sir can you solve( tan inverse ax/{x(1+x^2)}