Question

Производная функции S(t) 1/4t^3+1/6t^2+2/3t+1/2 равна

Answer 1

$S(t)=frac{1}{4}t^3+frac{1}{6}t^2+frac{2}{3}t+frac{1}{2}\\S`(t)=frac{1}{4}cdot 3t^2+frac{1}{6}cdot 2t+frac{2}{3}=frac{3}{4}t^2+frac{1}{3}t+frac{2}{3}$