Linear Approximation problem

Mar 2010
33
1
Estimate using differentials.

sin(0.00001)
 
Mar 2010
33
1
ok thank. if it was sin(0.9999) would x = 1 and then h=0.9999?
 
Mar 2010
33
1
so it will be 0 again? and x= the value u estimating the # that is closer to?
 

mr fantastic

MHF Hall of Fame
Dec 2007
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Zeitgeist
so it will be 0 again? and x= the value u estimating the # that is closer to?
I have no idea what you are referring to.

I have clearly answered both of your questions. I suggest you knuckle down to doing the calculations.
 
Mar 2010
33
1
how do u know that x will be = 0? anyone help please??
 
Last edited:
Mar 2010
33
1
Estimate

e^sqrt0.0001

I already know how to do e^0.0001.
 

mr fantastic

MHF Hall of Fame
Dec 2007
16,948
6,768
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e^sqrt0.0001

I already know how to do e^0.0001.
\(\displaystyle f(x + h) \approx f(x) + h f'(x)\).

Use \(\displaystyle f(x) = e^{\sqrt{x}}\), x = 0, h = 0.0001