Question

Найдите производную y=log3(2x^3+1)

Answer 1

$y'=(log_3(2 x^{3} +1))'= \frac{1}{(2 x^{3} +1)*ln3} *(2 x^{3} +1)'= \\ =\frac{1}{(2 x^{3} +1)*ln3} *6 x^{2} =\frac{6 x^{2} }{(2 x^{3} +1)*ln3}$