Question

Вычислить производную.

Answer 1

F(x) = y; 
f'(x) = f(x) * (ln_f(x))';
ln_f(x) = 1/2*ln_(2x + 3) + ln_(x - 2) - 2*ln_x;
(ln_f(x))' = 1/(2x + 3) + 1/(x - 2) - 2/x;
f'(x) = $\frac{ \sqrt{2x + 3}(x - 2) }{x^2} ( \frac{1}{2x+3} + \frac{1}{x - 2} - \frac{2}{x} )$