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). 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! ---------------------- I help students master the basics of calculus. You can show your support and help me create even better content by becoming a patron on Patreon 👉 www.patreon.com/blackpenredpen Get the coolest math shirts from my Amazon store 👉 https://amzn.to/3qBeuw6 ---------------------- Want more practice? Get my calculus practice quizzes on Patreon! Calculus 1 👉   / 1703815   Calculus 2 👉   / 1716951   ---------------------- #calculus #bprpcaluclus #mathtutorials #math