How do you differentiate sqrt(2x) - x^3 ?
1 Answer
Sep 21, 2016
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