Question

Найдите производную функции: f(x)= x²In(x²-10)

Answer 1

f(x)=x²·ln(x²-10);⇒
f¹(x)=(x²)¹·ln(x²-10)+x²·(ln(x²-10))¹=2x·ln(x²-10)+x²·2x/(x²-10)=
=2x·[ln(x²-10)+x²/(x²-10)];