Derivatives of all hyperbolic functions (proofs)
Автор: bprp calculus basics
Загружено: 2021-09-23
Просмотров: 49211
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).
Remember the hyperbolic cosine and hyperbolic sine are defined to be the x and y values on the unit hyperbola x^2-y^2=1, thus we have the identity cosh^2(x)-sinh^2(x)=1. For more detail, please see this hyperbolic trig function introduction: 👉 • Introduction to Hyperbolic Trig Functions
The derivative canvas print: 👉 https://bit.ly/derivativesonwall
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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