Найдите вторую производную y=2cosxln x

Question

Найдите вторую производную y=2cosxln x

Answer 1

(2cos(x)*ln(x))'' = 2(cos'(x)*ln(x)+cos(x)*ln'(x))' = 2(-sin(x)*ln(x)+cos(x)*(1/x))' = 2(-sin'(x)*ln(x)-sin(x)*ln'(x)+cos'(x)*(1/x)+cos(x)*(1/x)') = 2(-cos(x)*ln(x)-sin(x)/x-sin(x)/x-cos(x)/x²)= -2(cos(x)*ln(x) + 2sin(x)/x + cos(x)/x²)