How do i calculate the average rate of change of a function on a given interval?

Prove (a) cosh2(x) − sinh2(x) = 1 and (b) 1 − tanh 2(x) = sech 2(x). solution (a) cosh2(x) − sinh2(x) = ex + e−x 2 2 − 2 = e2x + 2 + e−2x 4 − = 4 = . (b) we start with the identity proved in part (a): cosh2(x) − sinh2(x) = 1. if we divide both sides by cosh2(x), we get 1 − sinh2(x) cosh2(x) = 1 or 1 − tanh 2(x) = .

How to find the exponential function y=ca^x, with points (1,2) and (2,1)

Given sin28.4=.4756, cos28.4=.8796, and tan28.4=.5407 find the cos of 61.6