The minus sign in d(cos) comes from i², since sin and cos secretly involved i. sinh and cosh are all real, so there's no i² and no minus sign in either derivative.
@khattab5351
5 ай бұрын
It comes from the limit definition
@tobybartels8426
5 ай бұрын
@@khattab5351 : Sure, but where does the minus sign enter that calculation? If you use the sum-angle formula, that has a minus sign, and that comes from i². (Of course, you could say that it comes from geometry; it's not like you have to think about complex numbers in order to understand trigonometry. But you _can_ understand trigonometry by thinking about complex numbers, and then that will help you remember why there's a minus sign in one case but not the other.)
@khattab5351
5 ай бұрын
@@tobybartels8426 In understand that you can prove the sin2x & cos2x formulas using de moivre's theorem, I just don’t get why you say that sin and cos come from complex analysis while sinh and cosh don’t, while the opposite is actually true.
@user-yw3iq8wp4k5 ай бұрын
guys if you are curious of finding derivitive of hyperbolic functions just derive its formula not straight up treat it as regular trigonometry got it
@comdo7776 ай бұрын
answer=cos 1x
@comdo777
6 ай бұрын
sin h x why what answer isit
@OkayFine-ie5pm
6 ай бұрын
Bro forgot chain rule😭
@vivaangupta3187
5 ай бұрын
Bro it's hcos(hx)
@OkayFine-ie5pm
5 ай бұрын
@@vivaangupta3187 noo it's hyperbolic function I.e. {e^(x)+ e^(-x)}/2 i.e. always >1 Whatever Just see the video bruh
@vivaangupta3187
5 ай бұрын
@@OkayFine-ie5pm it's a joke cuz the input value is hx
Пікірлер: 15
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Ok
The minus sign in d(cos) comes from i², since sin and cos secretly involved i. sinh and cosh are all real, so there's no i² and no minus sign in either derivative.
@khattab5351
5 ай бұрын
It comes from the limit definition
@tobybartels8426
5 ай бұрын
@@khattab5351 : Sure, but where does the minus sign enter that calculation? If you use the sum-angle formula, that has a minus sign, and that comes from i². (Of course, you could say that it comes from geometry; it's not like you have to think about complex numbers in order to understand trigonometry. But you _can_ understand trigonometry by thinking about complex numbers, and then that will help you remember why there's a minus sign in one case but not the other.)
@khattab5351
5 ай бұрын
@@tobybartels8426 In understand that you can prove the sin2x & cos2x formulas using de moivre's theorem, I just don’t get why you say that sin and cos come from complex analysis while sinh and cosh don’t, while the opposite is actually true.
guys if you are curious of finding derivitive of hyperbolic functions just derive its formula not straight up treat it as regular trigonometry got it
answer=cos 1x
@comdo777
6 ай бұрын
sin h x why what answer isit
@OkayFine-ie5pm
6 ай бұрын
Bro forgot chain rule😭
@vivaangupta3187
5 ай бұрын
Bro it's hcos(hx)
@OkayFine-ie5pm
5 ай бұрын
@@vivaangupta3187 noo it's hyperbolic function I.e. {e^(x)+ e^(-x)}/2 i.e. always >1 Whatever Just see the video bruh
@vivaangupta3187
5 ай бұрын
@@OkayFine-ie5pm it's a joke cuz the input value is hx