Question

Найти производную функции 1)y=x^6*lnx
2y=5sin3x/6cos5x

Answer 1

Решение
1)y=x^6*lnx
y` = 6x⁵ * lnx + x⁶ * (1/x) = 6x⁵ * lnx + x⁵ 
2)  y=5sin3x/6cos5x
y` = [5*3*cos3x * 6cos5x - 6*5*(-sin5x)*5sin3x] / (6cos5x)² = 
= [90*cos3x*cos5x + 150*sin5x*sin3x]  / (36cos²5x)