Thread: hyperbolic function derivatives!!

ok so how exactly would I simplify this function

sinh(ln(t))

Originally Posted by mathlete

ok so how exactly would I simplify this function

sinh(ln(t))

Use the chain rule:


-Dan

Before takin' the derivative, observe that

Now contemplate and take its derivative.

yeah i know how to take the derivative, but it asks me to simplify the function first...so to do that would i just plug in ln(t) into the (e^x-e^(-x))/2??

Originally Posted by Krizalid

Before takin' the derivative, observe that

Now contemplate and take its derivative.

Ha! I never saw that.

-Dan

Originally Posted by Krizalid

Before takin' the derivative, observe that

Now contemplate and take its derivative.

Nice, so the derivative is just 1?

Originally Posted by colby2152

Nice, so the derivative is just 1?

No.





So the derivative will be


-Dan

Originally Posted by topsquark

No.





So the derivative will be


-Dan

Whoops, gotta watch where I throw those negative signs!