Question

Вычислить f'(e),если f(x)=x^2 In x

Answer 1

f'(x) = (2x)*ln(x) + (x^2)*(1/x) = 2*x*ln(x) + x;
f'(e) = 2*e*ln(e) + e = 2*e*1 + e = 3*e.