Question

Найти производную функции $f(x)=e^x(x^2+1)$

Answer 1

f '(x) = $e^x (x^2+1)+2xe^x=e^x(x^2+2x+1)=e^x(x+1)^2$

Answer 2

$\f(x)=e^x(x^2+1)\ f'(x)=e^x(x^2+1)+e^xcdot2x\ f'(x)=e^x(x^2+1+2x)\ f'(x)=e^x(x^2+2x+1)$