Question

f(x)=(15-2x-x^2)•(2x+2/x-1/x^2)

Answer 1

$F(x)=(15-2x- x^{2} )(2x+ frac{2}{x} - frac{1}{ x^{2} } ) \ F'(x)=(-2-2x)(2x+ frac{2}{x} - frac{1}{ x^{2} } )+(15-2x- x^{2} )(2- frac{2}{ x^{2} }+ frac{2}{ x^{3} } )=$$-4x- frac{4}{x} + frac{2}{ x^{2} } -4 x^{2} -4 + frac{2}{ x } +30- frac{30}{ x^{2} } + frac{30}{ x^{3} } -4x+ frac{4}{ x } - frac{4}{ x^{2} }-2 x^{2} +2-$$frac{2}{x} =$$frac{30}{ x^{3} }-frac{32}{ x^{2} } -6 x^{2}-8x +28$