Jawabanmu

2014-04-08T17:29:55+07:00
A) f(x) =  \sqrt{x}( \sqrt[3]{x^2} - 2)
f(x) =  x^{1/2}( x^{2/3}  - 2)
f(x) =  x^{1/3} - 2 x^{1/2}
f '(x) =  x^{1/3} - 2 x^{1/2}
f '(x) =  \frac{1}{3}  x^{-2/3} -  x^{-1/2}
 \frac{1/3}{ \sqrt[3]{x^2} } -  \frac{1}{ \sqrt{x} }

b) f(x) = (x+2 x^{-1} ) (x-2 x^{-1} )
f(x) =  x^{2}  - 2 x^{-1} +  2x^{-1}  + 4 x^{-2}
f(x) =  x^{2} -2+2+4 x^{-2}
f '(x) = 2x -  \frac{8}{x^3}