prove d(f(x)/x)/d(1/x) =f(x)-xdf(x)/dx

Feb 3rd, 2012
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prove d(f(x)/x)/d(1/x) =f(x)-xdf(x)/dx. The document give details of how to prove this by using the fundamental property of differentiation and quotient rule.

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6. Using the property of differentiation dF(x) = dF(x)/dx *dx, we have in the numerator,d ( f ( x) / x) d ( f ( x) / x)dxdxd( f ( x) / x)dxdxUsing quotient rule ford ( f ( x) / x) xd( f ( x) / x) , we havedxd( f ( x) / x)dxdxdf ( x) f ( x)dxdxx2Simil

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