Question

Can you please differentiate this http://screencast.com/t/EgBr8fGGrmK ?

Answer 1

Also please tell me how

Answer 2

\[f \left( x \right)=\frac{ 3x +4 }{ x ^{2}+1 }\]
\[f'\left( x \right)=\frac{ \left( x ^{2}+1 \right)3-\left( 3x+4 \right)2x }{ \left( x ^{2}+1 \right) ^{2} }\]
\[f'\left( x \right)=\frac{ 3x ^{2}+3-6x ^{2}-8x }{ \left( x ^{2}+1 \right)^{2} }\]
\[f'\left( x \right)=\frac{ -3x ^{2}-8x+3 }{ \left( x ^{2}+1\right)^{2} }\]

Answer 3

\[f'\left( \frac{ u }{ v } \right)=\frac{ v u'-uv' }{ v ^{2} }\]