How do you differentiate #sqrt(2x) - x^3 #?

1 Answer
Jim G.
Sep 21, 2016

#sqrt2/(2sqrtx)-3x^2#

Explanation:

Differentiate using the #color(blue)"power rule"#

#color(orange)"Reminder " color(red)(bar(ul(|color(white)(a/a)color(black)(d/dx(ax^n)=nax^(n-1))color(white)(a/a)|)))#

Note that #sqrt(2x)=sqrt2xxsqrtx=sqrt2 x^(1/2)#

#rArrd/dx(sqrt2x^(1/2)-x^3)=1/2.sqrt2x^(-1/2)-3x^2#

#=sqrt2/(2sqrtx)-3x^2#

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