Question

найдите производную y=log3(2x^3+1)

Answer 1

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