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

1 Answer
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