Question

Помогите, весь вечер мучаюсь

Answer 1

$f(x)=(2sqrt{x}+1)*x^3=2x^{0.5}*x^3+1*x^3=\\2x^{0.5+3}+x^3=2x^{3.5}+x^3$
----------------
$f'(x)=(2x^{3.5}+x^3)'=\\(2x^{3.5})'+(x^3)'=2(x^{3.5})'+3x^{3-1}=2*3.5x^{3.5-1}+3x^2=\\7x^{2.5}+3x^2=7x^2sqrt{x}+3x^2$