..seems like I get stuck on every other problem!
two problems i was assigned were:
1. study f(x)= sinhx - x
which I did and found f(x) to be always increasing and have an inflection point at x = 0
2. prove sinh[sup:chlvlvj6]2[/sup:chlvlvj6](a+b) - sinh[sup:chlvlvj6]2[/sup:chlvlvj6](a-b) = sinh(2a)sinh(2b)
these two problems were supposed to help me in proving cosh(sinhx) < sinh(coshx) for all real numbers x
I don't think rewriting in exponential definitions will help any, and I've thought about it and can't see how problem 2 relates to this? can anyone help?
two problems i was assigned were:
1. study f(x)= sinhx - x
which I did and found f(x) to be always increasing and have an inflection point at x = 0
2. prove sinh[sup:chlvlvj6]2[/sup:chlvlvj6](a+b) - sinh[sup:chlvlvj6]2[/sup:chlvlvj6](a-b) = sinh(2a)sinh(2b)
these two problems were supposed to help me in proving cosh(sinhx) < sinh(coshx) for all real numbers x
I don't think rewriting in exponential definitions will help any, and I've thought about it and can't see how problem 2 relates to this? can anyone help?
