Question

ДАЮ 20 баллов!!
Вычислите f'(2) если f(x)=3/2x-1

Answer 1

$f(x)=\frac{3}{2x-1}\\\\f'(x)=\frac{3'*(2x-1)-3*(2x-1)'}{(2x-1)^{2} }=\frac{0*(2x-1)-3*2}{(2x-1)^{2} }=-\frac{6}{(2x-1)^{2} }\\\\f'(2)=-\frac{6}{(2*2-1)^{2} }=-\frac{6}{9}=-\frac{2}{3}$