Yes, the derivative of coshx is sinhx, not -sinhx. If you take the derivative of the definition of cosh, which is (e^x + e^-x)/2, you get (e^x - e^-x)/2. Which is the definition of positive sinh.
Yup, could be different from different countries. Anyways, I got the pronunciation from George F. Simmons amazing calculus book 'Calculus with Analytic Geometry' where he mentioned that hyperbolic sine is pronounced as 'cinch' which rhymes with 'pinch'.
It looks to have that 'ch' sound from the 'c' in sinc.
These are 'hyperbolic' functions and not the standard trigonometry functions.
We write them as 'sinh x' with a 'h' after 'sin'. They rarely bear connections with the standard trig functions. Their derivations too are hyperbolic functions. The functions themselves are defined in terms of natural log number e and are useful in certain integrations.
See my video 'The Catenary' and you'll know what I mean.
The nickname of hyperbolic tangeant is darn I believe.
sinh=shin
cosh=korsh
tanh=darn
coth=korf
sech=seech
csch=ko-seech
intellectual1234 3 years ago
Yes, the derivative of coshx is sinhx, not -sinhx. If you take the derivative of the definition of cosh, which is (e^x + e^-x)/2, you get (e^x - e^-x)/2. Which is the definition of positive sinh.
And the tanhx is pronounced the "tanth" of x.
TeHUnreaL 3 years ago
yeh... isnt when u differentiate
sinx = cosx
cosx =-sinx
tanx = sec^2x
or issit different for sinhx and coshx?
subu12345 3 years ago
usefull lucter...thank you indeed
suzanabdalraheem 3 years ago
r u sure that d/dxcosh=sinh? not -sinh?
suzanabdalraheem 3 years ago
Thank you so much man. This is very helpful.
killercan7 3 years ago
isnt it pronounced "shine"
thebullawulla 3 years ago
lol, its pronouced shine in britain I believe, hes from Sginapore, great lecture though
chennol 3 years ago
Yup, could be different from different countries. Anyways, I got the pronunciation from George F. Simmons amazing calculus book 'Calculus with Analytic Geometry' where he mentioned that hyperbolic sine is pronounced as 'cinch' which rhymes with 'pinch'.
It looks to have that 'ch' sound from the 'c' in sinc.
donylee 3 years ago
Can you make videos of the hyperboloid.
and can you thel me what is parabol and hyperbol focus formilay?
RollenHeith 3 years ago
isnt it jus
sinx
cosx
tanx?
subu12345 3 years ago
These are 'hyperbolic' functions and not the standard trigonometry functions.
We write them as 'sinh x' with a 'h' after 'sin'. They rarely bear connections with the standard trig functions. Their derivations too are hyperbolic functions. The functions themselves are defined in terms of natural log number e and are useful in certain integrations.
See my video 'The Catenary' and you'll know what I mean.
donylee 3 years ago
sinx
cosx
tanx are functions made from a basic circunference... (also but rarely called circular functions)
sinhx
coshx
tanhx are functions made from a hyperbole ... (also known as hiperbolic functions)
brilliantfranz 3 years ago
tanch
mmekaneshiro 3 years ago
tanh = "tanch or than"
chrisahc 4 years ago
tangent = tan ;pp
mountebank1 4 years ago
Exvelente. Puedes colocar este limite:
lim (x^n-1)/(x-1)
x->1
calculus100 4 years ago
thank you
ThermalTeeth 4 years ago
nice work! i wish if you talked in french :)
BlueScience1 4 years ago
Hey BlueScience,
I guess you from France. They learn hyperbolic functions there? Hehe.
Thanks for watching.
donylee 4 years ago