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x-radical din 2x derivat

Răspuns :

[tex](x \sqrt{2x} )'= (x)' \sqrt{2x} +x( \sqrt{2x} )'= \sqrt{2x} +x \frac{2}{2 \sqrt{2x} } =\sqrt{2x}+ \frac{2x \sqrt{2x} }{4x} =[/tex]
[tex]= \frac{2 \sqrt{2x}+ \sqrt{2x} }{2} = \frac{3}{2} \sqrt{2x} [/tex]
[tex](x- \sqrt{2x})'=1- \frac{2x'}{2 \sqrt{2x} }=1- \frac{1}{2x} [/tex]