ok so how exactly would I simplify this function

sinh(ln(t))

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- Mar 11th 2008, 10:33 AMmathletehyperbolic function derivatives!!
ok so how exactly would I simplify this function

sinh(ln(t)) - Mar 11th 2008, 10:39 AMtopsquark
- Mar 11th 2008, 10:43 AMKrizalid
Before takin' the derivative, observe that

$\displaystyle \sinh x = \frac{{e^x - e^{ - x} }}

{2}.$ Now contemplate $\displaystyle x=\ln t$ and take its derivative. - Mar 11th 2008, 10:48 AMmathlete
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??

- Mar 11th 2008, 11:04 AMtopsquark
- Mar 11th 2008, 11:06 AMcolby2152
- Mar 11th 2008, 11:11 AMtopsquark
- Mar 11th 2008, 11:27 AMcolby2152