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nickymarden
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nickymarden
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the last equation is supposed to be f'(1)=
nickymarden
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@amistre64
amistre64
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after learning the derivative rules; you never go back to the limit definition ...
nickymarden
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i knoow, but that's what he wants! ;/
amistre64
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then plug in the (1+h) into the function and algebra it out; its simple enough with that function
amistre64
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\[\lim\frac{5-2(1+h)-(5-2(1))}{(1+h)-1}\]
rs32623
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well
we have
\[f'(1)=\lim_{\Delta x \rightarrow 0}(f(1+\Delta x)-f(1))/\Delta x\]
we have f(1+delta x)= 5-(2*(1+delta x))
=3-2*(delta x)
& f(1)= 3
put these in above equation we have (3-2*(delta x)-3)/delta x
delta x gets cancelled & we have -2 as answer..
nickymarden
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yeeah, thanks. i got it :))
amistre64
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good luck ;)