Derivatives of all hyperbolic functions (proofs)

Derivatives of all the hyperbolic functions (derivatives of hyperbolic trig functions), namely derivative of sinh(x), derivative of cosh(x), derivative of tanh(x), derivative of coth(x), derivative of sech(x), and derivative of csch(x).

0:00 hyperbolic function identities
1:43 d/dx(sinh(x))
3:09 d/dx(cosh(x))
4:27 d/dx(tanh(x))
6:29 d/dx(coth(x))
8:10 d/dx(sech(x))
9:45 d/dx(csch(x))
11:18 derivatives for you!

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[DStyle]

I love this channel! It is a great learning resource for me!

[subrat]

I like his way of changing markers from a single hand.

[aphelmusonda]

this man is very intelligent, just the way he is spining the two markers in his hand makes me feel high

[aphelmusonda]

thank you for teaching me in just 11 minutes (watching from zambia)

[DeeperMeanings-egtu]

your explanation is very thorough, good job!

[tsionaddisuka]

This is amazing video 😮 watching from Ethiopia

[rakuziio_art]

See how smooth is he, switching the marker. Love it.

[pouyamohajer]

Hi
Im from iran and this video is beautiful
Thanks

[DeeperMeanings-egtu]

also the way you switch markers is cool

[cosmicvoidtree]

Hey love your channels, I’ve learned more calculus from your channels than I have at school (because I haven’t actually gotten to calculus yet). Anyway I had a video idea, since you just did derivatives of inverse trig functions recently, I thought doing the inverse of the error function (just the integral part of the definition for simplicity). I tried this myself similar to how you did the inverse trig function but got stuck when I got to dy/dx=1/e^-y^2. Maybe you could try this and see if you have any luck with it? Thanks for being a great math channel.

[kibromhabtamu]

hy am josh and i like your pronounsation

[erroraftererror]

I looked up how to pronounce the hyperbolic trig functions one time. Sech is pronounced exactly as it's spelled with the ch as it is normally prounounced in the English language. Csch is pronounced like sech but with the co- prefix in front of it. Coth is pronounced exactly as it is spelled, just like sech. Like "kawth".

[MathAdam]

Is this really ALL of them? Or is this... (wait for it!)... hyperbole? 😜

[JohnDoe-hdly]

Very helpful. But I have to ask the ultimate question. Who’s in the poke ball

[fanamatakecick]

The way i look at hyperbolas, they’re inverse ellipses

[Meander_Man]

4:24 why Is he holding Pokeball if he is using duster

[thomasolson]

I'm thinking the hyperbolic functions are just regular old fashioned trig functions with complex numbers. Take a look at e. Two of those are imaginary, and the last one has a sign change because of this.

[surajjani]

How to solve integration within a minute?

[tsionaddisuka]

This is amazing video 😮 watching from Ethiopia