Question

y=√x+x/x^2 найти производную

Answer 1

$sqrt{x} + frac{x}{x^2} = (sqrt{x} + frac{1}{x} )'= frac{1}{2 sqrt{x} } - frac{1}{x^2} = frac{x^2-2x}{2 sqrt{x} *x^2}= frac{x^2-2x}{2 sqrt{x} ^5}$

Answer 2

y=√x/x^2+x/x^2=x^(-3/2)+1/x
y'=-1/x^2-3/2x^(-5/2)=-1/x^2(1+3/2√x)