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LGBADERIVATIVES: \[\huge G(x) = \frac{1-\cosh x}{1+\cosh x}\]
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Use the division rule, it's pretty easy
quotient rule immediately @ash2326 ? cant it be easier???
it looks intimidating
\[\huge \frac{\sinh x(1+\cosh x) - \sinh x(1-\cosh x)}{(1+\cosh x)^2}?\]
It's easy since \[\frac{d}{dx} (\cos hx)=\sinh x \] \[\frac{(1+\cosh x)\times (-\sinh x)-(1-\cosh x)\times (\sinh x)}{(1+\cosh x)^2} \] just simplification now
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\[\huge \frac{\sinh x(2\cosh x)}{(1+\cosh x)^2}?\]
just \[\frac{-2\sinh x}{(1+\cosh x)^2}\]
why negative?
oh wait yes
ha ha
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i forgot it was 1-coshx
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